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Finding the Fourth Proportional to 40,406.38, 55,756.83 and 22,500.70

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Solution

The fourth proportional to 40,406.38, 55,756.83 and 22,500.70 is: 31,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,406.38 : 55,756.83 = 22,500.70 : x
  2. Step 2: Convert to fraction form
    40,406.38/55,756.83 = 22,500.70/x
  3. Step 3: Cross multiply
    40,406.38x = 55,756.83 × 22,500.70
  4. Step 4: Simplify right side
    40,406.38x = 1,254,567,704.78
  5. Step 5: Solve for x
    x = 1,254,567,704.78/40,406.38
  6. Step 6: Final answer
    x = 31,048.75

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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.