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Finding the Fourth Proportional to 83,202.14, 114,805.68 and 47,392.86

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Solution

The fourth proportional to 83,202.14, 114,805.68 and 47,392.86 is: 65,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.14 : 114,805.68 = 47,392.86 : x
  2. Step 2: Convert to fraction form
    83,202.14/114,805.68 = 47,392.86/x
  3. Step 3: Cross multiply
    83,202.14x = 114,805.68 × 47,392.86
  4. Step 4: Simplify right side
    83,202.14x = 5,440,969,519.44
  5. Step 5: Solve for x
    x = 5,440,969,519.44/83,202.14
  6. Step 6: Final answer
    x = 65,394.59

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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.