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Finding the Fourth Proportional to 38,759.38, 53,498.16 and 22,854.42

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Solution

The fourth proportional to 38,759.38, 53,498.16 and 22,854.42 is: 31,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,759.38 : 53,498.16 = 22,854.42 : x
  2. Step 2: Convert to fraction form
    38,759.38/53,498.16 = 22,854.42/x
  3. Step 3: Cross multiply
    38,759.38x = 53,498.16 × 22,854.42
  4. Step 4: Simplify right side
    38,759.38x = 1,222,669,417.87
  5. Step 5: Solve for x
    x = 1,222,669,417.87/38,759.38
  6. Step 6: Final answer
    x = 31,545.12

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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.