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Finding the Fourth Proportional to 30,215.84, 41,696.98 and 16,786.76

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Solution

The fourth proportional to 30,215.84, 41,696.98 and 16,786.76 is: 23,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.84 : 41,696.98 = 16,786.76 : x
  2. Step 2: Convert to fraction form
    30,215.84/41,696.98 = 16,786.76/x
  3. Step 3: Cross multiply
    30,215.84x = 41,696.98 × 16,786.76
  4. Step 4: Simplify right side
    30,215.84x = 699,957,195.98
  5. Step 5: Solve for x
    x = 699,957,195.98/30,215.84
  6. Step 6: Final answer
    x = 23,165.24

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.