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Finding the Fourth Proportional to 39,922.16, 55,087.16 and 22,017.92

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Solution

The fourth proportional to 39,922.16, 55,087.16 and 22,017.92 is: 30,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,922.16 : 55,087.16 = 22,017.92 : x
  2. Step 2: Convert to fraction form
    39,922.16/55,087.16 = 22,017.92/x
  3. Step 3: Cross multiply
    39,922.16x = 55,087.16 × 22,017.92
  4. Step 4: Simplify right side
    39,922.16x = 1,212,904,296.38
  5. Step 5: Solve for x
    x = 1,212,904,296.38/39,922.16
  6. Step 6: Final answer
    x = 30,381.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.