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Finding the Fourth Proportional to 69,874.74, 96,425.91 and 38,043.09

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Solution

The fourth proportional to 69,874.74, 96,425.91 and 38,043.09 is: 52,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,874.74 : 96,425.91 = 38,043.09 : x
  2. Step 2: Convert to fraction form
    69,874.74/96,425.91 = 38,043.09/x
  3. Step 3: Cross multiply
    69,874.74x = 96,425.91 × 38,043.09
  4. Step 4: Simplify right side
    69,874.74x = 3,668,339,572.46
  5. Step 5: Solve for x
    x = 3,668,339,572.46/69,874.74
  6. Step 6: Final answer
    x = 52,498.79

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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.