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Finding the Fourth Proportional to 32,319.76, 48,478.22 and 10,132.64

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Solution

The fourth proportional to 32,319.76, 48,478.22 and 10,132.64 is: 15,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319.76 : 48,478.22 = 10,132.64 : x
  2. Step 2: Convert to fraction form
    32,319.76/48,478.22 = 10,132.64/x
  3. Step 3: Cross multiply
    32,319.76x = 48,478.22 × 10,132.64
  4. Step 4: Simplify right side
    32,319.76x = 491,212,351.10
  5. Step 5: Solve for x
    x = 491,212,351.10/32,319.76
  6. Step 6: Final answer
    x = 15,198.51

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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.