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Finding the Fourth Proportional to 38,240.54, 57,363.34 and 10,160.20

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Solution

The fourth proportional to 38,240.54, 57,363.34 and 10,160.20 is: 15,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240.54 : 57,363.34 = 10,160.20 : x
  2. Step 2: Convert to fraction form
    38,240.54/57,363.34 = 10,160.20/x
  3. Step 3: Cross multiply
    38,240.54x = 57,363.34 × 10,160.20
  4. Step 4: Simplify right side
    38,240.54x = 582,823,007.07
  5. Step 5: Solve for x
    x = 582,823,007.07/38,240.54
  6. Step 6: Final answer
    x = 15,240.97

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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.