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Finding the Fourth Proportional to 95,314.80, 142,972.16 and 39,145.32

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Solution

The fourth proportional to 95,314.80, 142,972.16 and 39,145.32 is: 58,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,314.80 : 142,972.16 = 39,145.32 : x
  2. Step 2: Convert to fraction form
    95,314.80/142,972.16 = 39,145.32/x
  3. Step 3: Cross multiply
    95,314.80x = 142,972.16 × 39,145.32
  4. Step 4: Simplify right side
    95,314.80x = 5,596,690,954.29
  5. Step 5: Solve for x
    x = 5,596,690,954.29/95,314.80
  6. Step 6: Final answer
    x = 58,717.96

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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.