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Finding the Fourth Proportional to 71,116.44, 106,690.25 and 26,743.18

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Solution

The fourth proportional to 71,116.44, 106,690.25 and 26,743.18 is: 40,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,116.44 : 106,690.25 = 26,743.18 : x
  2. Step 2: Convert to fraction form
    71,116.44/106,690.25 = 26,743.18/x
  3. Step 3: Cross multiply
    71,116.44x = 106,690.25 × 26,743.18
  4. Step 4: Simplify right side
    71,116.44x = 2,853,236,159.55
  5. Step 5: Solve for x
    x = 2,853,236,159.55/71,116.44
  6. Step 6: Final answer
    x = 40,120.63

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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.