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Finding the Fourth Proportional to 40,189.86, 55,462.67 and 22,285.62

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Solution

The fourth proportional to 40,189.86, 55,462.67 and 22,285.62 is: 30,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189.86 : 55,462.67 = 22,285.62 : x
  2. Step 2: Convert to fraction form
    40,189.86/55,462.67 = 22,285.62/x
  3. Step 3: Cross multiply
    40,189.86x = 55,462.67 × 22,285.62
  4. Step 4: Simplify right side
    40,189.86x = 1,236,019,876.38
  5. Step 5: Solve for x
    x = 1,236,019,876.38/40,189.86
  6. Step 6: Final answer
    x = 30,754.52

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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.