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Finding the Fourth Proportional to 95,165.38, 142,750.38 and 31,986.42

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Solution

The fourth proportional to 95,165.38, 142,750.38 and 31,986.42 is: 47,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,165.38 : 142,750.38 = 31,986.42 : x
  2. Step 2: Convert to fraction form
    95,165.38/142,750.38 = 31,986.42/x
  3. Step 3: Cross multiply
    95,165.38x = 142,750.38 × 31,986.42
  4. Step 4: Simplify right side
    95,165.38x = 4,566,073,609.84
  5. Step 5: Solve for x
    x = 4,566,073,609.84/95,165.38
  6. Step 6: Final answer
    x = 47,980.41

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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.