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Finding the Fourth Proportional to 31,695.05, 47,542.53 and 9,508.39

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Solution

The fourth proportional to 31,695.05, 47,542.53 and 9,508.39 is: 14,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.05 : 47,542.53 = 9,508.39 : x
  2. Step 2: Convert to fraction form
    31,695.05/47,542.53 = 9,508.39/x
  3. Step 3: Cross multiply
    31,695.05x = 47,542.53 × 9,508.39
  4. Step 4: Simplify right side
    31,695.05x = 452,052,679.11
  5. Step 5: Solve for x
    x = 452,052,679.11/31,695.05
  6. Step 6: Final answer
    x = 14,262.56

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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.