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Finding the Fourth Proportional to 49,008.24, 67,638.24 and 27,792.72

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Solution

The fourth proportional to 49,008.24, 67,638.24 and 27,792.72 is: 38,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,008.24 : 67,638.24 = 27,792.72 : x
  2. Step 2: Convert to fraction form
    49,008.24/67,638.24 = 27,792.72/x
  3. Step 3: Cross multiply
    49,008.24x = 67,638.24 × 27,792.72
  4. Step 4: Simplify right side
    49,008.24x = 1,879,850,665.61
  5. Step 5: Solve for x
    x = 1,879,850,665.61/49,008.24
  6. Step 6: Final answer
    x = 38,357.85

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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.