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Finding the Fourth Proportional to 29,134, 40,204.92 and 16,561.18

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Solution

The fourth proportional to 29,134, 40,204.92 and 16,561.18 is: 22,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134 : 40,204.92 = 16,561.18 : x
  2. Step 2: Convert to fraction form
    29,134/40,204.92 = 16,561.18/x
  3. Step 3: Cross multiply
    29,134x = 40,204.92 × 16,561.18
  4. Step 4: Simplify right side
    29,134x = 665,840,917.01
  5. Step 5: Solve for x
    x = 665,840,917.01/29,134
  6. Step 6: Final answer
    x = 22,854.43

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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.