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Finding the Fourth Proportional to 71,238.88, 106,822.68 and 23,837.68

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Solution

The fourth proportional to 71,238.88, 106,822.68 and 23,837.68 is: 35,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,238.88 : 106,822.68 = 23,837.68 : x
  2. Step 2: Convert to fraction form
    71,238.88/106,822.68 = 23,837.68/x
  3. Step 3: Cross multiply
    71,238.88x = 106,822.68 × 23,837.68
  4. Step 4: Simplify right side
    71,238.88x = 2,546,404,862.58
  5. Step 5: Solve for x
    x = 2,546,404,862.58/71,238.88
  6. Step 6: Final answer
    x = 35,744.59

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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.