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Finding the Fourth Proportional to 29,706.65, 40,994.10 and 16,277.76

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Solution

The fourth proportional to 29,706.65, 40,994.10 and 16,277.76 is: 22,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.65 : 40,994.10 = 16,277.76 : x
  2. Step 2: Convert to fraction form
    29,706.65/40,994.10 = 16,277.76/x
  3. Step 3: Cross multiply
    29,706.65x = 40,994.10 × 16,277.76
  4. Step 4: Simplify right side
    29,706.65x = 667,292,121.22
  5. Step 5: Solve for x
    x = 667,292,121.22/29,706.65
  6. Step 6: Final answer
    x = 22,462.72

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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.