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Finding the Fourth Proportional to 40,197.38, 55,468.76 and 22,292.34

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Solution

The fourth proportional to 40,197.38, 55,468.76 and 22,292.34 is: 30,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,197.38 : 55,468.76 = 22,292.34 : x
  2. Step 2: Convert to fraction form
    40,197.38/55,468.76 = 22,292.34/x
  3. Step 3: Cross multiply
    40,197.38x = 55,468.76 × 22,292.34
  4. Step 4: Simplify right side
    40,197.38x = 1,236,528,457.30
  5. Step 5: Solve for x
    x = 1,236,528,457.30/40,197.38
  6. Step 6: Final answer
    x = 30,761.42

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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.