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Finding the Fourth Proportional to 95,238.71, 142,732.72 and 53,138.60

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Solution

The fourth proportional to 95,238.71, 142,732.72 and 53,138.60 is: 79,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,238.71 : 142,732.72 = 53,138.60 : x
  2. Step 2: Convert to fraction form
    95,238.71/142,732.72 = 53,138.60/x
  3. Step 3: Cross multiply
    95,238.71x = 142,732.72 × 53,138.60
  4. Step 4: Simplify right side
    95,238.71x = 7,584,617,306.97
  5. Step 5: Solve for x
    x = 7,584,617,306.97/95,238.71
  6. Step 6: Final answer
    x = 79,637.97

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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.