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Finding the Fourth Proportional to 72,122.92, 108,194.62 and 22,207.16

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Solution

The fourth proportional to 72,122.92, 108,194.62 and 22,207.16 is: 33,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,122.92 : 108,194.62 = 22,207.16 : x
  2. Step 2: Convert to fraction form
    72,122.92/108,194.62 = 22,207.16/x
  3. Step 3: Cross multiply
    72,122.92x = 108,194.62 × 22,207.16
  4. Step 4: Simplify right side
    72,122.92x = 2,402,695,237.48
  5. Step 5: Solve for x
    x = 2,402,695,237.48/72,122.92
  6. Step 6: Final answer
    x = 33,313.89

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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.