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Finding the Fourth Proportional to 74,393.68, 111,591.10 and 27,646.50

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Solution

The fourth proportional to 74,393.68, 111,591.10 and 27,646.50 is: 41,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,393.68 : 111,591.10 = 27,646.50 : x
  2. Step 2: Convert to fraction form
    74,393.68/111,591.10 = 27,646.50/x
  3. Step 3: Cross multiply
    74,393.68x = 111,591.10 × 27,646.50
  4. Step 4: Simplify right side
    74,393.68x = 3,085,103,346.15
  5. Step 5: Solve for x
    x = 3,085,103,346.15/74,393.68
  6. Step 6: Final answer
    x = 41,469.97

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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.