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Finding the Fourth Proportional to 32,180.52, 48,252.06 and 13,454.88

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Solution

The fourth proportional to 32,180.52, 48,252.06 and 13,454.88 is: 20,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.52 : 48,252.06 = 13,454.88 : x
  2. Step 2: Convert to fraction form
    32,180.52/48,252.06 = 13,454.88/x
  3. Step 3: Cross multiply
    32,180.52x = 48,252.06 × 13,454.88
  4. Step 4: Simplify right side
    32,180.52x = 649,225,677.05
  5. Step 5: Solve for x
    x = 649,225,677.05/32,180.52
  6. Step 6: Final answer
    x = 20,174.49

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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.