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Finding the Fourth Proportional to 49,327.32, 68,078.36 and 27,821.48

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Solution

The fourth proportional to 49,327.32, 68,078.36 and 27,821.48 is: 38,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,327.32 : 68,078.36 = 27,821.48 : x
  2. Step 2: Convert to fraction form
    49,327.32/68,078.36 = 27,821.48/x
  3. Step 3: Cross multiply
    49,327.32x = 68,078.36 × 27,821.48
  4. Step 4: Simplify right side
    49,327.32x = 1,894,040,731.17
  5. Step 5: Solve for x
    x = 1,894,040,731.17/49,327.32
  6. Step 6: Final answer
    x = 38,397.40

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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.