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Finding the Fourth Proportional to 83,406.31, 125,004.67 and 59,589.88

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Solution

The fourth proportional to 83,406.31, 125,004.67 and 59,589.88 is: 89,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.31 : 125,004.67 = 59,589.88 : x
  2. Step 2: Convert to fraction form
    83,406.31/125,004.67 = 59,589.88/x
  3. Step 3: Cross multiply
    83,406.31x = 125,004.67 × 59,589.88
  4. Step 4: Simplify right side
    83,406.31x = 7,449,012,823.25
  5. Step 5: Solve for x
    x = 7,449,012,823.25/83,406.31
  6. Step 6: Final answer
    x = 89,309.95

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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.