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Finding the Fourth Proportional to 74,101.52, 111,163.80 and 24,842

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Solution

The fourth proportional to 74,101.52, 111,163.80 and 24,842 is: 37,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,101.52 : 111,163.80 = 24,842 : x
  2. Step 2: Convert to fraction form
    74,101.52/111,163.80 = 24,842/x
  3. Step 3: Cross multiply
    74,101.52x = 111,163.80 × 24,842
  4. Step 4: Simplify right side
    74,101.52x = 2,761,531,119.60
  5. Step 5: Solve for x
    x = 2,761,531,119.60/74,101.52
  6. Step 6: Final answer
    x = 37,266.86

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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.