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Finding the Fourth Proportional to 95,314.31, 142,871.69 and 32,112.59

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Solution

The fourth proportional to 95,314.31, 142,871.69 and 32,112.59 is: 48,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,314.31 : 142,871.69 = 32,112.59 : x
  2. Step 2: Convert to fraction form
    95,314.31/142,871.69 = 32,112.59/x
  3. Step 3: Cross multiply
    95,314.31x = 142,871.69 × 32,112.59
  4. Step 4: Simplify right side
    95,314.31x = 4,587,979,369.50
  5. Step 5: Solve for x
    x = 4,587,979,369.50/95,314.31
  6. Step 6: Final answer
    x = 48,135.27

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