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Finding the Fourth Proportional to 32,344.72, 48,517.08 and 8,971.16

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Solution

The fourth proportional to 32,344.72, 48,517.08 and 8,971.16 is: 13,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344.72 : 48,517.08 = 8,971.16 : x
  2. Step 2: Convert to fraction form
    32,344.72/48,517.08 = 8,971.16/x
  3. Step 3: Cross multiply
    32,344.72x = 48,517.08 × 8,971.16
  4. Step 4: Simplify right side
    32,344.72x = 435,254,487.41
  5. Step 5: Solve for x
    x = 435,254,487.41/32,344.72
  6. Step 6: Final answer
    x = 13,456.74

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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.