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Finding the Fourth Proportional to 40,051.62, 55,270.38 and 22,147.38

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Solution

The fourth proportional to 40,051.62, 55,270.38 and 22,147.38 is: 30,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,051.62 : 55,270.38 = 22,147.38 : x
  2. Step 2: Convert to fraction form
    40,051.62/55,270.38 = 22,147.38/x
  3. Step 3: Cross multiply
    40,051.62x = 55,270.38 × 22,147.38
  4. Step 4: Simplify right side
    40,051.62x = 1,224,094,108.60
  5. Step 5: Solve for x
    x = 1,224,094,108.60/40,051.62
  6. Step 6: Final answer
    x = 30,562.91

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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.