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Finding the Fourth Proportional to 34,839.20, 48,098.04 and 22,937.13

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Solution

The fourth proportional to 34,839.20, 48,098.04 and 22,937.13 is: 31,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,839.20 : 48,098.04 = 22,937.13 : x
  2. Step 2: Convert to fraction form
    34,839.20/48,098.04 = 22,937.13/x
  3. Step 3: Cross multiply
    34,839.20x = 48,098.04 × 22,937.13
  4. Step 4: Simplify right side
    34,839.20x = 1,103,231,142.25
  5. Step 5: Solve for x
    x = 1,103,231,142.25/34,839.20
  6. Step 6: Final answer
    x = 31,666.38

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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.