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Finding the Fourth Proportional to 83,812.50, 125,692.04 and 27,642.11

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Solution

The fourth proportional to 83,812.50, 125,692.04 and 27,642.11 is: 41,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,812.50 : 125,692.04 = 27,642.11 : x
  2. Step 2: Convert to fraction form
    83,812.50/125,692.04 = 27,642.11/x
  3. Step 3: Cross multiply
    83,812.50x = 125,692.04 × 27,642.11
  4. Step 4: Simplify right side
    83,812.50x = 3,474,392,429.13
  5. Step 5: Solve for x
    x = 3,474,392,429.13/83,812.50
  6. Step 6: Final answer
    x = 41,454.35

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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.