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Finding the Fourth Proportional to 32,233.52, 48,353.72 and 13,519.48

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Solution

The fourth proportional to 32,233.52, 48,353.72 and 13,519.48 is: 20,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.52 : 48,353.72 = 13,519.48 : x
  2. Step 2: Convert to fraction form
    32,233.52/48,353.72 = 13,519.48/x
  3. Step 3: Cross multiply
    32,233.52x = 48,353.72 × 13,519.48
  4. Step 4: Simplify right side
    32,233.52x = 653,717,150.47
  5. Step 5: Solve for x
    x = 653,717,150.47/32,233.52
  6. Step 6: Final answer
    x = 20,280.66

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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.