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Finding the Fourth Proportional to 83,169.32, 114,759.78 and 47,359.88

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Solution

The fourth proportional to 83,169.32, 114,759.78 and 47,359.88 is: 65,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,169.32 : 114,759.78 = 47,359.88 : x
  2. Step 2: Convert to fraction form
    83,169.32/114,759.78 = 47,359.88/x
  3. Step 3: Cross multiply
    83,169.32x = 114,759.78 × 47,359.88
  4. Step 4: Simplify right side
    83,169.32x = 5,435,009,409.63
  5. Step 5: Solve for x
    x = 5,435,009,409.63/83,169.32
  6. Step 6: Final answer
    x = 65,348.73

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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.