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Finding the Fourth Proportional to 39,412.62, 54,385.71 and 23,493.90

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Solution

The fourth proportional to 39,412.62, 54,385.71 and 23,493.90 is: 32,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.62 : 54,385.71 = 23,493.90 : x
  2. Step 2: Convert to fraction form
    39,412.62/54,385.71 = 23,493.90/x
  3. Step 3: Cross multiply
    39,412.62x = 54,385.71 × 23,493.90
  4. Step 4: Simplify right side
    39,412.62x = 1,277,732,432.17
  5. Step 5: Solve for x
    x = 1,277,732,432.17/39,412.62
  6. Step 6: Final answer
    x = 32,419.37

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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.