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Finding the Fourth Proportional to 101,431.52, 152,149.36 and 31,310.88

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Solution

The fourth proportional to 101,431.52, 152,149.36 and 31,310.88 is: 46,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,431.52 : 152,149.36 = 31,310.88 : x
  2. Step 2: Convert to fraction form
    101,431.52/152,149.36 = 31,310.88/x
  3. Step 3: Cross multiply
    101,431.52x = 152,149.36 × 31,310.88
  4. Step 4: Simplify right side
    101,431.52x = 4,763,930,353.04
  5. Step 5: Solve for x
    x = 4,763,930,353.04/101,431.52
  6. Step 6: Final answer
    x = 46,966.96

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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.