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Finding the Fourth Proportional to 75,139.50, 112,766.40 and 27,799.41

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Solution

The fourth proportional to 75,139.50, 112,766.40 and 27,799.41 is: 41,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,139.50 : 112,766.40 = 27,799.41 : x
  2. Step 2: Convert to fraction form
    75,139.50/112,766.40 = 27,799.41/x
  3. Step 3: Cross multiply
    75,139.50x = 112,766.40 × 27,799.41
  4. Step 4: Simplify right side
    75,139.50x = 3,134,839,387.82
  5. Step 5: Solve for x
    x = 3,134,839,387.82/75,139.50
  6. Step 6: Final answer
    x = 41,720.26

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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.