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Finding the Fourth Proportional to 31,061.52, 42,864.90 and 16,914.38

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Solution

The fourth proportional to 31,061.52, 42,864.90 and 16,914.38 is: 23,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.52 : 42,864.90 = 16,914.38 : x
  2. Step 2: Convert to fraction form
    31,061.52/42,864.90 = 16,914.38/x
  3. Step 3: Cross multiply
    31,061.52x = 42,864.90 × 16,914.38
  4. Step 4: Simplify right side
    31,061.52x = 725,033,207.26
  5. Step 5: Solve for x
    x = 725,033,207.26/31,061.52
  6. Step 6: Final answer
    x = 23,341.85

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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.