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Finding the Fourth Proportional to 83,873.75, 115,722.81 and 58,351.46

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Solution

The fourth proportional to 83,873.75, 115,722.81 and 58,351.46 is: 80,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.75 : 115,722.81 = 58,351.46 : x
  2. Step 2: Convert to fraction form
    83,873.75/115,722.81 = 58,351.46/x
  3. Step 3: Cross multiply
    83,873.75x = 115,722.81 × 58,351.46
  4. Step 4: Simplify right side
    83,873.75x = 6,752,594,340.19
  5. Step 5: Solve for x
    x = 6,752,594,340.19/83,873.75
  6. Step 6: Final answer
    x = 80,509.04

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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.