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Finding the Fourth Proportional to 32,144.52, 48,224.47 and 13,414.13

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Solution

The fourth proportional to 32,144.52, 48,224.47 and 13,414.13 is: 20,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.52 : 48,224.47 = 13,414.13 : x
  2. Step 2: Convert to fraction form
    32,144.52/48,224.47 = 13,414.13/x
  3. Step 3: Cross multiply
    32,144.52x = 48,224.47 × 13,414.13
  4. Step 4: Simplify right side
    32,144.52x = 646,889,309.76
  5. Step 5: Solve for x
    x = 646,889,309.76/32,144.52
  6. Step 6: Final answer
    x = 20,124.41

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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.