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Finding the Fourth Proportional to 39,802.38, 54,935.14 and 22,818.03

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Solution

The fourth proportional to 39,802.38, 54,935.14 and 22,818.03 is: 31,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,802.38 : 54,935.14 = 22,818.03 : x
  2. Step 2: Convert to fraction form
    39,802.38/54,935.14 = 22,818.03/x
  3. Step 3: Cross multiply
    39,802.38x = 54,935.14 × 22,818.03
  4. Step 4: Simplify right side
    39,802.38x = 1,253,511,672.57
  5. Step 5: Solve for x
    x = 1,253,511,672.57/39,802.38
  6. Step 6: Final answer
    x = 31,493.38

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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.