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Finding the Fourth Proportional to 53,221.92, 79,842.24 and 22,079.04

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Solution

The fourth proportional to 53,221.92, 79,842.24 and 22,079.04 is: 33,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,221.92 : 79,842.24 = 22,079.04 : x
  2. Step 2: Convert to fraction form
    53,221.92/79,842.24 = 22,079.04/x
  3. Step 3: Cross multiply
    53,221.92x = 79,842.24 × 22,079.04
  4. Step 4: Simplify right side
    53,221.92x = 1,762,840,010.65
  5. Step 5: Solve for x
    x = 1,762,840,010.65/53,221.92
  6. Step 6: Final answer
    x = 33,122.44

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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.