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Finding the Fourth Proportional to 40,172.64, 55,438.20 and 22,267.68

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Solution

The fourth proportional to 40,172.64, 55,438.20 and 22,267.68 is: 30,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,172.64 : 55,438.20 = 22,267.68 : x
  2. Step 2: Convert to fraction form
    40,172.64/55,438.20 = 22,267.68/x
  3. Step 3: Cross multiply
    40,172.64x = 55,438.20 × 22,267.68
  4. Step 4: Simplify right side
    40,172.64x = 1,234,480,097.38
  5. Step 5: Solve for x
    x = 1,234,480,097.38/40,172.64
  6. Step 6: Final answer
    x = 30,729.37

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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.