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Finding the Fourth Proportional to 78,191.10, 107,863.97 and 49,462.38

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Solution

The fourth proportional to 78,191.10, 107,863.97 and 49,462.38 is: 68,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,191.10 : 107,863.97 = 49,462.38 : x
  2. Step 2: Convert to fraction form
    78,191.10/107,863.97 = 49,462.38/x
  3. Step 3: Cross multiply
    78,191.10x = 107,863.97 × 49,462.38
  4. Step 4: Simplify right side
    78,191.10x = 5,335,208,425.14
  5. Step 5: Solve for x
    x = 5,335,208,425.14/78,191.10
  6. Step 6: Final answer
    x = 68,232.94

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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.