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Finding the Fourth Proportional to 83,817.52, 125,678.68 and 27,642.32

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Solution

The fourth proportional to 83,817.52, 125,678.68 and 27,642.32 is: 41,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817.52 : 125,678.68 = 27,642.32 : x
  2. Step 2: Convert to fraction form
    83,817.52/125,678.68 = 27,642.32/x
  3. Step 3: Cross multiply
    83,817.52x = 125,678.68 × 27,642.32
  4. Step 4: Simplify right side
    83,817.52x = 3,474,050,289.74
  5. Step 5: Solve for x
    x = 3,474,050,289.74/83,817.52
  6. Step 6: Final answer
    x = 41,447.78

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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.