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Finding the Fourth Proportional to 70,342.78, 105,523.44 and 22,941.22

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Solution

The fourth proportional to 70,342.78, 105,523.44 and 22,941.22 is: 34,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,342.78 : 105,523.44 = 22,941.22 : x
  2. Step 2: Convert to fraction form
    70,342.78/105,523.44 = 22,941.22/x
  3. Step 3: Cross multiply
    70,342.78x = 105,523.44 × 22,941.22
  4. Step 4: Simplify right side
    70,342.78x = 2,420,836,452.20
  5. Step 5: Solve for x
    x = 2,420,836,452.20/70,342.78
  6. Step 6: Final answer
    x = 34,414.85

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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.