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Finding the Fourth Proportional to 70,844.79, 106,214.94 and 23,442.78

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Solution

The fourth proportional to 70,844.79, 106,214.94 and 23,442.78 is: 35,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,844.79 : 106,214.94 = 23,442.78 : x
  2. Step 2: Convert to fraction form
    70,844.79/106,214.94 = 23,442.78/x
  3. Step 3: Cross multiply
    70,844.79x = 106,214.94 × 23,442.78
  4. Step 4: Simplify right side
    70,844.79x = 2,489,973,471.13
  5. Step 5: Solve for x
    x = 2,489,973,471.13/70,844.79
  6. Step 6: Final answer
    x = 35,146.88

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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.