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Finding the Fourth Proportional to 49,675.38, 68,551.11 and 27,013.98

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Solution

The fourth proportional to 49,675.38, 68,551.11 and 27,013.98 is: 37,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,675.38 : 68,551.11 = 27,013.98 : x
  2. Step 2: Convert to fraction form
    49,675.38/68,551.11 = 27,013.98/x
  3. Step 3: Cross multiply
    49,675.38x = 68,551.11 × 27,013.98
  4. Step 4: Simplify right side
    49,675.38x = 1,851,838,314.52
  5. Step 5: Solve for x
    x = 1,851,838,314.52/49,675.38
  6. Step 6: Final answer
    x = 37,278.80

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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.