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Finding the Fourth Proportional to 132,248.70, 198,369 and 32,409.18

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Solution

The fourth proportional to 132,248.70, 198,369 and 32,409.18 is: 48,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,248.70 : 198,369 = 32,409.18 : x
  2. Step 2: Convert to fraction form
    132,248.70/198,369 = 32,409.18/x
  3. Step 3: Cross multiply
    132,248.70x = 198,369 × 32,409.18
  4. Step 4: Simplify right side
    132,248.70x = 6,428,976,627.42
  5. Step 5: Solve for x
    x = 6,428,976,627.42/132,248.70
  6. Step 6: Final answer
    x = 48,612.78

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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.