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Finding the Fourth Proportional to 29,706.77, 40,994.26 and 16,278.19

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Solution

The fourth proportional to 29,706.77, 40,994.26 and 16,278.19 is: 22,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.77 : 40,994.26 = 16,278.19 : x
  2. Step 2: Convert to fraction form
    29,706.77/40,994.26 = 16,278.19/x
  3. Step 3: Cross multiply
    29,706.77x = 40,994.26 × 16,278.19
  4. Step 4: Simplify right side
    29,706.77x = 667,312,210.01
  5. Step 5: Solve for x
    x = 667,312,210.01/29,706.77
  6. Step 6: Final answer
    x = 22,463.30

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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.