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Finding the Fourth Proportional to 83,202.80, 114,840.50 and 47,414.04

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Solution

The fourth proportional to 83,202.80, 114,840.50 and 47,414.04 is: 65,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.80 : 114,840.50 = 47,414.04 : x
  2. Step 2: Convert to fraction form
    83,202.80/114,840.50 = 47,414.04/x
  3. Step 3: Cross multiply
    83,202.80x = 114,840.50 × 47,414.04
  4. Step 4: Simplify right side
    83,202.80x = 5,445,052,060.62
  5. Step 5: Solve for x
    x = 5,445,052,060.62/83,202.80
  6. Step 6: Final answer
    x = 65,443.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.