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Finding the Fourth Proportional to 100,422.52, 138,578.40 and 55,099.48

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Solution

The fourth proportional to 100,422.52, 138,578.40 and 55,099.48 is: 76,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.52 : 138,578.40 = 55,099.48 : x
  2. Step 2: Convert to fraction form
    100,422.52/138,578.40 = 55,099.48/x
  3. Step 3: Cross multiply
    100,422.52x = 138,578.40 × 55,099.48
  4. Step 4: Simplify right side
    100,422.52x = 7,635,597,779.23
  5. Step 5: Solve for x
    x = 7,635,597,779.23/100,422.52
  6. Step 6: Final answer
    x = 76,034.72

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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.