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Finding the Fourth Proportional to 83,406.46, 115,101.15 and 45,166.46

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Solution

The fourth proportional to 83,406.46, 115,101.15 and 45,166.46 is: 62,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.46 : 115,101.15 = 45,166.46 : x
  2. Step 2: Convert to fraction form
    83,406.46/115,101.15 = 45,166.46/x
  3. Step 3: Cross multiply
    83,406.46x = 115,101.15 × 45,166.46
  4. Step 4: Simplify right side
    83,406.46x = 5,198,711,487.43
  5. Step 5: Solve for x
    x = 5,198,711,487.43/83,406.46
  6. Step 6: Final answer
    x = 62,329.84

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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.