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Finding the Fourth Proportional to 31,900.30, 47,850.45 and 15,251.25

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Solution

The fourth proportional to 31,900.30, 47,850.45 and 15,251.25 is: 22,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.30 : 47,850.45 = 15,251.25 : x
  2. Step 2: Convert to fraction form
    31,900.30/47,850.45 = 15,251.25/x
  3. Step 3: Cross multiply
    31,900.30x = 47,850.45 × 15,251.25
  4. Step 4: Simplify right side
    31,900.30x = 729,779,144.20
  5. Step 5: Solve for x
    x = 729,779,144.20/31,900.30
  6. Step 6: Final answer
    x = 22,876.87

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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.