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Finding the Fourth Proportional to 69,116.78, 103,691.63 and 22,369.66

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Solution

The fourth proportional to 69,116.78, 103,691.63 and 22,369.66 is: 33,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,116.78 : 103,691.63 = 22,369.66 : x
  2. Step 2: Convert to fraction form
    69,116.78/103,691.63 = 22,369.66/x
  3. Step 3: Cross multiply
    69,116.78x = 103,691.63 × 22,369.66
  4. Step 4: Simplify right side
    69,116.78x = 2,319,546,507.95
  5. Step 5: Solve for x
    x = 2,319,546,507.95/69,116.78
  6. Step 6: Final answer
    x = 33,559.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.