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Finding the Fourth Proportional to 110,422.74, 165,546.36 and 48,049.50

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Solution

The fourth proportional to 110,422.74, 165,546.36 and 48,049.50 is: 72,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,422.74 : 165,546.36 = 48,049.50 : x
  2. Step 2: Convert to fraction form
    110,422.74/165,546.36 = 48,049.50/x
  3. Step 3: Cross multiply
    110,422.74x = 165,546.36 × 48,049.50
  4. Step 4: Simplify right side
    110,422.74x = 7,954,419,824.82
  5. Step 5: Solve for x
    x = 7,954,419,824.82/110,422.74
  6. Step 6: Final answer
    x = 72,036.07

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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.