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Finding the Fourth Proportional to 32,338.40, 48,514.92 and 10,151.68

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Solution

The fourth proportional to 32,338.40, 48,514.92 and 10,151.68 is: 15,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338.40 : 48,514.92 = 10,151.68 : x
  2. Step 2: Convert to fraction form
    32,338.40/48,514.92 = 10,151.68/x
  3. Step 3: Cross multiply
    32,338.40x = 48,514.92 × 10,151.68
  4. Step 4: Simplify right side
    32,338.40x = 492,507,943.07
  5. Step 5: Solve for x
    x = 492,507,943.07/32,338.40
  6. Step 6: Final answer
    x = 15,229.82

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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.