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Finding the Fourth Proportional to 32,512.62, 48,770.62 and 10,327.74

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Solution

The fourth proportional to 32,512.62, 48,770.62 and 10,327.74 is: 15,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512.62 : 48,770.62 = 10,327.74 : x
  2. Step 2: Convert to fraction form
    32,512.62/48,770.62 = 10,327.74/x
  3. Step 3: Cross multiply
    32,512.62x = 48,770.62 × 10,327.74
  4. Step 4: Simplify right side
    32,512.62x = 503,690,283.00
  5. Step 5: Solve for x
    x = 503,690,283.00/32,512.62
  6. Step 6: Final answer
    x = 15,492.15

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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.