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Finding the Fourth Proportional to 71,634.68, 107,304.35 and 41,962.56

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Solution

The fourth proportional to 71,634.68, 107,304.35 and 41,962.56 is: 62,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,634.68 : 107,304.35 = 41,962.56 : x
  2. Step 2: Convert to fraction form
    71,634.68/107,304.35 = 41,962.56/x
  3. Step 3: Cross multiply
    71,634.68x = 107,304.35 × 41,962.56
  4. Step 4: Simplify right side
    71,634.68x = 4,502,765,015.32
  5. Step 5: Solve for x
    x = 4,502,765,015.32/71,634.68
  6. Step 6: Final answer
    x = 62,857.34

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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.