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Finding the Fourth Proportional to 32,245.92, 48,377.61 and 13,516.08

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Solution

The fourth proportional to 32,245.92, 48,377.61 and 13,516.08 is: 20,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245.92 : 48,377.61 = 13,516.08 : x
  2. Step 2: Convert to fraction form
    32,245.92/48,377.61 = 13,516.08/x
  3. Step 3: Cross multiply
    32,245.92x = 48,377.61 × 13,516.08
  4. Step 4: Simplify right side
    32,245.92x = 653,875,646.97
  5. Step 5: Solve for x
    x = 653,875,646.97/32,245.92
  6. Step 6: Final answer
    x = 20,277.78

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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.