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Finding the Fourth Proportional to 83,980.92, 125,970.60 and 34,049.15

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Solution

The fourth proportional to 83,980.92, 125,970.60 and 34,049.15 is: 51,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.92 : 125,970.60 = 34,049.15 : x
  2. Step 2: Convert to fraction form
    83,980.92/125,970.60 = 34,049.15/x
  3. Step 3: Cross multiply
    83,980.92x = 125,970.60 × 34,049.15
  4. Step 4: Simplify right side
    83,980.92x = 4,289,191,854.99
  5. Step 5: Solve for x
    x = 4,289,191,854.99/83,980.92
  6. Step 6: Final answer
    x = 51,073.41

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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.