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Finding the Fourth Proportional to 131,937.92, 197,904 and 32,098.56

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Solution

The fourth proportional to 131,937.92, 197,904 and 32,098.56 is: 48,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,937.92 : 197,904 = 32,098.56 : x
  2. Step 2: Convert to fraction form
    131,937.92/197,904 = 32,098.56/x
  3. Step 3: Cross multiply
    131,937.92x = 197,904 × 32,098.56
  4. Step 4: Simplify right side
    131,937.92x = 6,352,433,418.24
  5. Step 5: Solve for x
    x = 6,352,433,418.24/131,937.92
  6. Step 6: Final answer
    x = 48,147.14

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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.