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Finding the Fourth Proportional to 32,085.20, 48,127.50 and 8,711.64

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Solution

The fourth proportional to 32,085.20, 48,127.50 and 8,711.64 is: 13,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.20 : 48,127.50 = 8,711.64 : x
  2. Step 2: Convert to fraction form
    32,085.20/48,127.50 = 8,711.64/x
  3. Step 3: Cross multiply
    32,085.20x = 48,127.50 × 8,711.64
  4. Step 4: Simplify right side
    32,085.20x = 419,269,454.10
  5. Step 5: Solve for x
    x = 419,269,454.10/32,085.20
  6. Step 6: Final answer
    x = 13,067.38

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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.