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Finding the Fourth Proportional to 75,297.94, 112,947.29 and 25,378.46

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Solution

The fourth proportional to 75,297.94, 112,947.29 and 25,378.46 is: 38,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,297.94 : 112,947.29 = 25,378.46 : x
  2. Step 2: Convert to fraction form
    75,297.94/112,947.29 = 25,378.46/x
  3. Step 3: Cross multiply
    75,297.94x = 112,947.29 × 25,378.46
  4. Step 4: Simplify right side
    75,297.94x = 2,866,428,833.02
  5. Step 5: Solve for x
    x = 2,866,428,833.02/75,297.94
  6. Step 6: Final answer
    x = 38,067.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.