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Finding the Fourth Proportional to 40,383.58, 55,729.34 and 22,478.20

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Solution

The fourth proportional to 40,383.58, 55,729.34 and 22,478.20 is: 31,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,383.58 : 55,729.34 = 22,478.20 : x
  2. Step 2: Convert to fraction form
    40,383.58/55,729.34 = 22,478.20/x
  3. Step 3: Cross multiply
    40,383.58x = 55,729.34 × 22,478.20
  4. Step 4: Simplify right side
    40,383.58x = 1,252,695,250.39
  5. Step 5: Solve for x
    x = 1,252,695,250.39/40,383.58
  6. Step 6: Final answer
    x = 31,019.92

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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.