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Finding the Fourth Proportional to 27,149.49, 40,725.77 and 8,432.18

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Solution

The fourth proportional to 27,149.49, 40,725.77 and 8,432.18 is: 12,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.49 : 40,725.77 = 8,432.18 : x
  2. Step 2: Convert to fraction form
    27,149.49/40,725.77 = 8,432.18/x
  3. Step 3: Cross multiply
    27,149.49x = 40,725.77 × 8,432.18
  4. Step 4: Simplify right side
    27,149.49x = 343,407,114.55
  5. Step 5: Solve for x
    x = 343,407,114.55/27,149.49
  6. Step 6: Final answer
    x = 12,648.75

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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.