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Finding the Fourth Proportional to 38,200.74, 57,294.84 and 10,122.54

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Solution

The fourth proportional to 38,200.74, 57,294.84 and 10,122.54 is: 15,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.74 : 57,294.84 = 10,122.54 : x
  2. Step 2: Convert to fraction form
    38,200.74/57,294.84 = 10,122.54/x
  3. Step 3: Cross multiply
    38,200.74x = 57,294.84 × 10,122.54
  4. Step 4: Simplify right side
    38,200.74x = 579,969,616.22
  5. Step 5: Solve for x
    x = 579,969,616.22/38,200.74
  6. Step 6: Final answer
    x = 15,182.16

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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.