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Finding the Fourth Proportional to 49,186.98, 67,881.24 and 27,968.22

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Solution

The fourth proportional to 49,186.98, 67,881.24 and 27,968.22 is: 38,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,186.98 : 67,881.24 = 27,968.22 : x
  2. Step 2: Convert to fraction form
    49,186.98/67,881.24 = 27,968.22/x
  3. Step 3: Cross multiply
    49,186.98x = 67,881.24 × 27,968.22
  4. Step 4: Simplify right side
    49,186.98x = 1,898,517,454.19
  5. Step 5: Solve for x
    x = 1,898,517,454.19/49,186.98
  6. Step 6: Final answer
    x = 38,597.97

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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.