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Finding the Fourth Proportional to 83,995.61, 126,006.78 and 27,837.71

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Solution

The fourth proportional to 83,995.61, 126,006.78 and 27,837.71 is: 41,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,995.61 : 126,006.78 = 27,837.71 : x
  2. Step 2: Convert to fraction form
    83,995.61/126,006.78 = 27,837.71/x
  3. Step 3: Cross multiply
    83,995.61x = 126,006.78 × 27,837.71
  4. Step 4: Simplify right side
    83,995.61x = 3,507,739,569.64
  5. Step 5: Solve for x
    x = 3,507,739,569.64/83,995.61
  6. Step 6: Final answer
    x = 41,760.99

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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.