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Finding the Fourth Proportional to 32,188.17, 48,265.79 and 13,463.09

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Solution

The fourth proportional to 32,188.17, 48,265.79 and 13,463.09 is: 20,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.17 : 48,265.79 = 13,463.09 : x
  2. Step 2: Convert to fraction form
    32,188.17/48,265.79 = 13,463.09/x
  3. Step 3: Cross multiply
    32,188.17x = 48,265.79 × 13,463.09
  4. Step 4: Simplify right side
    32,188.17x = 649,806,366.05
  5. Step 5: Solve for x
    x = 649,806,366.05/32,188.17
  6. Step 6: Final answer
    x = 20,187.74

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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.