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Finding the Fourth Proportional to 75,228.71, 112,850.51 and 27,856.44

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Solution

The fourth proportional to 75,228.71, 112,850.51 and 27,856.44 is: 41,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228.71 : 112,850.51 = 27,856.44 : x
  2. Step 2: Convert to fraction form
    75,228.71/112,850.51 = 27,856.44/x
  3. Step 3: Cross multiply
    75,228.71x = 112,850.51 × 27,856.44
  4. Step 4: Simplify right side
    75,228.71x = 3,143,613,321.50
  5. Step 5: Solve for x
    x = 3,143,613,321.50/75,228.71
  6. Step 6: Final answer
    x = 41,787.42

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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.