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Finding the Fourth Proportional to 72,229.93, 108,323.74 and 27,218.81

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Solution

The fourth proportional to 72,229.93, 108,323.74 and 27,218.81 is: 40,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,229.93 : 108,323.74 = 27,218.81 : x
  2. Step 2: Convert to fraction form
    72,229.93/108,323.74 = 27,218.81/x
  3. Step 3: Cross multiply
    72,229.93x = 108,323.74 × 27,218.81
  4. Step 4: Simplify right side
    72,229.93x = 2,948,443,297.55
  5. Step 5: Solve for x
    x = 2,948,443,297.55/72,229.93
  6. Step 6: Final answer
    x = 40,820.24

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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.