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Finding the Fourth Proportional to 72,207.57, 108,271.70 and 22,273.84

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Solution

The fourth proportional to 72,207.57, 108,271.70 and 22,273.84 is: 33,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,207.57 : 108,271.70 = 22,273.84 : x
  2. Step 2: Convert to fraction form
    72,207.57/108,271.70 = 22,273.84/x
  3. Step 3: Cross multiply
    72,207.57x = 108,271.70 × 22,273.84
  4. Step 4: Simplify right side
    72,207.57x = 2,411,626,522.33
  5. Step 5: Solve for x
    x = 2,411,626,522.33/72,207.57
  6. Step 6: Final answer
    x = 33,398.53

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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.