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Finding the Fourth Proportional to 83,812.74, 125,692.42 and 27,642.35

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Solution

The fourth proportional to 83,812.74, 125,692.42 and 27,642.35 is: 41,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,812.74 : 125,692.42 = 27,642.35 : x
  2. Step 2: Convert to fraction form
    83,812.74/125,692.42 = 27,642.35/x
  3. Step 3: Cross multiply
    83,812.74x = 125,692.42 × 27,642.35
  4. Step 4: Simplify right side
    83,812.74x = 3,474,433,865.99
  5. Step 5: Solve for x
    x = 3,474,433,865.99/83,812.74
  6. Step 6: Final answer
    x = 41,454.72

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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.