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Finding the Fourth Proportional to 49,324.35, 68,066.22 and 27,813.90

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Solution

The fourth proportional to 49,324.35, 68,066.22 and 27,813.90 is: 38,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324.35 : 68,066.22 = 27,813.90 : x
  2. Step 2: Convert to fraction form
    49,324.35/68,066.22 = 27,813.90/x
  3. Step 3: Cross multiply
    49,324.35x = 68,066.22 × 27,813.90
  4. Step 4: Simplify right side
    49,324.35x = 1,893,187,036.46
  5. Step 5: Solve for x
    x = 1,893,187,036.46/49,324.35
  6. Step 6: Final answer
    x = 38,382.40

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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.