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Finding the Fourth Proportional to 96,139.71, 144,233.46 and 39,962.97

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Solution

The fourth proportional to 96,139.71, 144,233.46 and 39,962.97 is: 59,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,139.71 : 144,233.46 = 39,962.97 : x
  2. Step 2: Convert to fraction form
    96,139.71/144,233.46 = 39,962.97/x
  3. Step 3: Cross multiply
    96,139.71x = 144,233.46 × 39,962.97
  4. Step 4: Simplify right side
    96,139.71x = 5,763,997,434.98
  5. Step 5: Solve for x
    x = 5,763,997,434.98/96,139.71
  6. Step 6: Final answer
    x = 59,954.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.