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Finding the Fourth Proportional to 72,234.71, 108,362.42 and 22,319.16

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Solution

The fourth proportional to 72,234.71, 108,362.42 and 22,319.16 is: 33,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,234.71 : 108,362.42 = 22,319.16 : x
  2. Step 2: Convert to fraction form
    72,234.71/108,362.42 = 22,319.16/x
  3. Step 3: Cross multiply
    72,234.71x = 108,362.42 × 22,319.16
  4. Step 4: Simplify right side
    72,234.71x = 2,418,558,245.77
  5. Step 5: Solve for x
    x = 2,418,558,245.77/72,234.71
  6. Step 6: Final answer
    x = 33,481.94

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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.