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Finding the Fourth Proportional to 83,766.43, 115,597.70 and 45,525.97

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Solution

The fourth proportional to 83,766.43, 115,597.70 and 45,525.97 is: 62,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766.43 : 115,597.70 = 45,525.97 : x
  2. Step 2: Convert to fraction form
    83,766.43/115,597.70 = 45,525.97/x
  3. Step 3: Cross multiply
    83,766.43x = 115,597.70 × 45,525.97
  4. Step 4: Simplify right side
    83,766.43x = 5,262,697,194.64
  5. Step 5: Solve for x
    x = 5,262,697,194.64/83,766.43
  6. Step 6: Final answer
    x = 62,825.85

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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.