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Finding the Fourth Proportional to 49,206.19, 67,897.69 and 27,983.11

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Solution

The fourth proportional to 49,206.19, 67,897.69 and 27,983.11 is: 38,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206.19 : 67,897.69 = 27,983.11 : x
  2. Step 2: Convert to fraction form
    49,206.19/67,897.69 = 27,983.11/x
  3. Step 3: Cross multiply
    49,206.19x = 67,897.69 × 27,983.11
  4. Step 4: Simplify right side
    49,206.19x = 1,899,988,528.02
  5. Step 5: Solve for x
    x = 1,899,988,528.02/49,206.19
  6. Step 6: Final answer
    x = 38,612.80

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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.