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Finding the Fourth Proportional to 29,658.71, 40,929.01 and 16,229.96

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Solution

The fourth proportional to 29,658.71, 40,929.01 and 16,229.96 is: 22,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.71 : 40,929.01 = 16,229.96 : x
  2. Step 2: Convert to fraction form
    29,658.71/40,929.01 = 16,229.96/x
  3. Step 3: Cross multiply
    29,658.71x = 40,929.01 × 16,229.96
  4. Step 4: Simplify right side
    29,658.71x = 664,276,113.99
  5. Step 5: Solve for x
    x = 664,276,113.99/29,658.71
  6. Step 6: Final answer
    x = 22,397.34

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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.