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Finding the Fourth Proportional to 75,227.31, 112,805.10 and 27,840.27

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Solution

The fourth proportional to 75,227.31, 112,805.10 and 27,840.27 is: 41,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,227.31 : 112,805.10 = 27,840.27 : x
  2. Step 2: Convert to fraction form
    75,227.31/112,805.10 = 27,840.27/x
  3. Step 3: Cross multiply
    75,227.31x = 112,805.10 × 27,840.27
  4. Step 4: Simplify right side
    75,227.31x = 3,140,524,441.38
  5. Step 5: Solve for x
    x = 3,140,524,441.38/75,227.31
  6. Step 6: Final answer
    x = 41,747.13

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1.5x scale

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.