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Finding the Fourth Proportional to 32,606.32, 48,891.12 and 10,414.48

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Solution

The fourth proportional to 32,606.32, 48,891.12 and 10,414.48 is: 15,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606.32 : 48,891.12 = 10,414.48 : x
  2. Step 2: Convert to fraction form
    32,606.32/48,891.12 = 10,414.48/x
  3. Step 3: Cross multiply
    32,606.32x = 48,891.12 × 10,414.48
  4. Step 4: Simplify right side
    32,606.32x = 509,175,591.42
  5. Step 5: Solve for x
    x = 509,175,591.42/32,606.32
  6. Step 6: Final answer
    x = 15,615.86

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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.