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Finding the Fourth Proportional to 100,342.44, 138,474.13 and 55,024.56

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Solution

The fourth proportional to 100,342.44, 138,474.13 and 55,024.56 is: 75,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.44 : 138,474.13 = 55,024.56 : x
  2. Step 2: Convert to fraction form
    100,342.44/138,474.13 = 55,024.56/x
  3. Step 3: Cross multiply
    100,342.44x = 138,474.13 × 55,024.56
  4. Step 4: Simplify right side
    100,342.44x = 7,619,478,489.60
  5. Step 5: Solve for x
    x = 7,619,478,489.60/100,342.44
  6. Step 6: Final answer
    x = 75,934.75

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