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Finding the Fourth Proportional to 83,452.68, 115,166.16 and 45,724.68

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Solution

The fourth proportional to 83,452.68, 115,166.16 and 45,724.68 is: 63,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,452.68 : 115,166.16 = 45,724.68 : x
  2. Step 2: Convert to fraction form
    83,452.68/115,166.16 = 45,724.68/x
  3. Step 3: Cross multiply
    83,452.68x = 115,166.16 × 45,724.68
  4. Step 4: Simplify right side
    83,452.68x = 5,265,935,812.83
  5. Step 5: Solve for x
    x = 5,265,935,812.83/83,452.68
  6. Step 6: Final answer
    x = 63,100.86

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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.