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Finding the Fourth Proportional to 75,147.69, 112,727 and 25,227.36

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Solution

The fourth proportional to 75,147.69, 112,727 and 25,227.36 is: 37,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,147.69 : 112,727 = 25,227.36 : x
  2. Step 2: Convert to fraction form
    75,147.69/112,727 = 25,227.36/x
  3. Step 3: Cross multiply
    75,147.69x = 112,727 × 25,227.36
  4. Step 4: Simplify right side
    75,147.69x = 2,843,804,610.72
  5. Step 5: Solve for x
    x = 2,843,804,610.72/75,147.69
  6. Step 6: Final answer
    x = 37,842.87

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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.