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Finding the Fourth Proportional to 31,796.29, 47,695.45 and 15,992.70

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Solution

The fourth proportional to 31,796.29, 47,695.45 and 15,992.70 is: 23,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.29 : 47,695.45 = 15,992.70 : x
  2. Step 2: Convert to fraction form
    31,796.29/47,695.45 = 15,992.70/x
  3. Step 3: Cross multiply
    31,796.29x = 47,695.45 × 15,992.70
  4. Step 4: Simplify right side
    31,796.29x = 762,779,023.22
  5. Step 5: Solve for x
    x = 762,779,023.22/31,796.29
  6. Step 6: Final answer
    x = 23,989.56

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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.