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Finding the Fourth Proportional to 83,860.87, 115,730.86 and 48,057.79

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Solution

The fourth proportional to 83,860.87, 115,730.86 and 48,057.79 is: 66,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,860.87 : 115,730.86 = 48,057.79 : x
  2. Step 2: Convert to fraction form
    83,860.87/115,730.86 = 48,057.79/x
  3. Step 3: Cross multiply
    83,860.87x = 115,730.86 × 48,057.79
  4. Step 4: Simplify right side
    83,860.87x = 5,561,769,366.40
  5. Step 5: Solve for x
    x = 5,561,769,366.40/83,860.87
  6. Step 6: Final answer
    x = 66,321.39

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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.