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Finding the Fourth Proportional to 72,230.26, 108,338.40 and 22,296.90

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Solution

The fourth proportional to 72,230.26, 108,338.40 and 22,296.90 is: 33,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,230.26 : 108,338.40 = 22,296.90 : x
  2. Step 2: Convert to fraction form
    72,230.26/108,338.40 = 22,296.90/x
  3. Step 3: Cross multiply
    72,230.26x = 108,338.40 × 22,296.90
  4. Step 4: Simplify right side
    72,230.26x = 2,415,610,470.96
  5. Step 5: Solve for x
    x = 2,415,610,470.96/72,230.26
  6. Step 6: Final answer
    x = 33,443.19

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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.