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Finding the Fourth Proportional to 83,847.90, 125,745.12 and 27,677.56

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Solution

The fourth proportional to 83,847.90, 125,745.12 and 27,677.56 is: 41,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847.90 : 125,745.12 = 27,677.56 : x
  2. Step 2: Convert to fraction form
    83,847.90/125,745.12 = 27,677.56/x
  3. Step 3: Cross multiply
    83,847.90x = 125,745.12 × 27,677.56
  4. Step 4: Simplify right side
    83,847.90x = 3,480,318,103.51
  5. Step 5: Solve for x
    x = 3,480,318,103.51/83,847.90
  6. Step 6: Final answer
    x = 41,507.52

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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.