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Finding the Fourth Proportional to 38,239.54, 57,361.84 and 10,159.20

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Solution

The fourth proportional to 38,239.54, 57,361.84 and 10,159.20 is: 15,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,239.54 : 57,361.84 = 10,159.20 : x
  2. Step 2: Convert to fraction form
    38,239.54/57,361.84 = 10,159.20/x
  3. Step 3: Cross multiply
    38,239.54x = 57,361.84 × 10,159.20
  4. Step 4: Simplify right side
    38,239.54x = 582,750,379.53
  5. Step 5: Solve for x
    x = 582,750,379.53/38,239.54
  6. Step 6: Final answer
    x = 15,239.47

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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.