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Finding the Fourth Proportional to 32,105.40, 48,160.52 and 8,732.04

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Solution

The fourth proportional to 32,105.40, 48,160.52 and 8,732.04 is: 13,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.40 : 48,160.52 = 8,732.04 : x
  2. Step 2: Convert to fraction form
    32,105.40/48,160.52 = 8,732.04/x
  3. Step 3: Cross multiply
    32,105.40x = 48,160.52 × 8,732.04
  4. Step 4: Simplify right side
    32,105.40x = 420,539,587.06
  5. Step 5: Solve for x
    x = 420,539,587.06/32,105.40
  6. Step 6: Final answer
    x = 13,098.72

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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.