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Finding the Fourth Proportional to 40,167.82, 55,430.07 and 22,262.38

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Solution

The fourth proportional to 40,167.82, 55,430.07 and 22,262.38 is: 30,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,167.82 : 55,430.07 = 22,262.38 : x
  2. Step 2: Convert to fraction form
    40,167.82/55,430.07 = 22,262.38/x
  3. Step 3: Cross multiply
    40,167.82x = 55,430.07 × 22,262.38
  4. Step 4: Simplify right side
    40,167.82x = 1,234,005,281.77
  5. Step 5: Solve for x
    x = 1,234,005,281.77/40,167.82
  6. Step 6: Final answer
    x = 30,721.24

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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.