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Finding the Fourth Proportional to 32,428.52, 48,649.28 and 10,243.96

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Solution

The fourth proportional to 32,428.52, 48,649.28 and 10,243.96 is: 15,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.52 : 48,649.28 = 10,243.96 : x
  2. Step 2: Convert to fraction form
    32,428.52/48,649.28 = 10,243.96/x
  3. Step 3: Cross multiply
    32,428.52x = 48,649.28 × 10,243.96
  4. Step 4: Simplify right side
    32,428.52x = 498,361,278.35
  5. Step 5: Solve for x
    x = 498,361,278.35/32,428.52
  6. Step 6: Final answer
    x = 15,367.99

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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.