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Finding the Fourth Proportional to 95,154.88, 142,732.32 and 39,712

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Solution

The fourth proportional to 95,154.88, 142,732.32 and 39,712 is: 59,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,154.88 : 142,732.32 = 39,712 : x
  2. Step 2: Convert to fraction form
    95,154.88/142,732.32 = 39,712/x
  3. Step 3: Cross multiply
    95,154.88x = 142,732.32 × 39,712
  4. Step 4: Simplify right side
    95,154.88x = 5,668,185,891.84
  5. Step 5: Solve for x
    x = 5,668,185,891.84/95,154.88
  6. Step 6: Final answer
    x = 59,568

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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.