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Finding the Fourth Proportional to 32,932.67, 49,399.00 and 15,414.80

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Solution

The fourth proportional to 32,932.67, 49,399.00 and 15,414.80 is: 23,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.67 : 49,399.00 = 15,414.80 : x
  2. Step 2: Convert to fraction form
    32,932.67/49,399.00 = 15,414.80/x
  3. Step 3: Cross multiply
    32,932.67x = 49,399.00 × 15,414.80
  4. Step 4: Simplify right side
    32,932.67x = 761,475,419.67
  5. Step 5: Solve for x
    x = 761,475,419.67/32,932.67
  6. Step 6: Final answer
    x = 23,122.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.