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Finding the Fourth Proportional to 83,479.68, 115,219.32 and 76,754.65

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Solution

The fourth proportional to 83,479.68, 115,219.32 and 76,754.65 is: 105,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,479.68 : 115,219.32 = 76,754.65 : x
  2. Step 2: Convert to fraction form
    83,479.68/115,219.32 = 76,754.65/x
  3. Step 3: Cross multiply
    83,479.68x = 115,219.32 × 76,754.65
  4. Step 4: Simplify right side
    83,479.68x = 8,843,618,579.84
  5. Step 5: Solve for x
    x = 8,843,618,579.84/83,479.68
  6. Step 6: Final answer
    x = 105,937.38

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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.