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Finding the Fourth Proportional to 32,275.87, 48,402.87 and 12,280.61

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Solution

The fourth proportional to 32,275.87, 48,402.87 and 12,280.61 is: 18,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,275.87 : 48,402.87 = 12,280.61 : x
  2. Step 2: Convert to fraction form
    32,275.87/48,402.87 = 12,280.61/x
  3. Step 3: Cross multiply
    32,275.87x = 48,402.87 × 12,280.61
  4. Step 4: Simplify right side
    32,275.87x = 594,416,844.31
  5. Step 5: Solve for x
    x = 594,416,844.31/32,275.87
  6. Step 6: Final answer
    x = 18,416.76

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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.