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Finding the Fourth Proportional to 83,482.66, 125,219.13 and 27,359.38

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Solution

The fourth proportional to 83,482.66, 125,219.13 and 27,359.38 is: 41,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,482.66 : 125,219.13 = 27,359.38 : x
  2. Step 2: Convert to fraction form
    83,482.66/125,219.13 = 27,359.38/x
  3. Step 3: Cross multiply
    83,482.66x = 125,219.13 × 27,359.38
  4. Step 4: Simplify right side
    83,482.66x = 3,425,917,760.94
  5. Step 5: Solve for x
    x = 3,425,917,760.94/83,482.66
  6. Step 6: Final answer
    x = 41,037.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.