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Finding the Fourth Proportional to 49,205.69, 67,897.01 and 27,982.61

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Solution

The fourth proportional to 49,205.69, 67,897.01 and 27,982.61 is: 38,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,205.69 : 67,897.01 = 27,982.61 : x
  2. Step 2: Convert to fraction form
    49,205.69/67,897.01 = 27,982.61/x
  3. Step 3: Cross multiply
    49,205.69x = 67,897.01 × 27,982.61
  4. Step 4: Simplify right side
    49,205.69x = 1,899,935,411.08
  5. Step 5: Solve for x
    x = 1,899,935,411.08/49,205.69
  6. Step 6: Final answer
    x = 38,612.11

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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.