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Finding the Fourth Proportional to 83,873.80, 115,685.38 and 48,050.76

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Solution

The fourth proportional to 83,873.80, 115,685.38 and 48,050.76 is: 66,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.80 : 115,685.38 = 48,050.76 : x
  2. Step 2: Convert to fraction form
    83,873.80/115,685.38 = 48,050.76/x
  3. Step 3: Cross multiply
    83,873.80x = 115,685.38 × 48,050.76
  4. Step 4: Simplify right side
    83,873.80x = 5,558,770,429.89
  5. Step 5: Solve for x
    x = 5,558,770,429.89/83,873.80
  6. Step 6: Final answer
    x = 66,275.41

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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.