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Finding the Fourth Proportional to 38,428.92, 53,022.88 and 23,321.24

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Solution

The fourth proportional to 38,428.92, 53,022.88 and 23,321.24 is: 32,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.92 : 53,022.88 = 23,321.24 : x
  2. Step 2: Convert to fraction form
    38,428.92/53,022.88 = 23,321.24/x
  3. Step 3: Cross multiply
    38,428.92x = 53,022.88 × 23,321.24
  4. Step 4: Simplify right side
    38,428.92x = 1,236,559,309.97
  5. Step 5: Solve for x
    x = 1,236,559,309.97/38,428.92
  6. Step 6: Final answer
    x = 32,177.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.