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Finding the Fourth Proportional to 95,098.10, 142,552.42 and 47,568.15

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Solution

The fourth proportional to 95,098.10, 142,552.42 and 47,568.15 is: 71,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,098.10 : 142,552.42 = 47,568.15 : x
  2. Step 2: Convert to fraction form
    95,098.10/142,552.42 = 47,568.15/x
  3. Step 3: Cross multiply
    95,098.10x = 142,552.42 × 47,568.15
  4. Step 4: Simplify right side
    95,098.10x = 6,780,954,778.50
  5. Step 5: Solve for x
    x = 6,780,954,778.50/95,098.10
  6. Step 6: Final answer
    x = 71,304.84

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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.