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Finding the Fourth Proportional to 40,771.62, 56,266.38 and 22,866.30

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Solution

The fourth proportional to 40,771.62, 56,266.38 and 22,866.30 is: 31,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771.62 : 56,266.38 = 22,866.30 : x
  2. Step 2: Convert to fraction form
    40,771.62/56,266.38 = 22,866.30/x
  3. Step 3: Cross multiply
    40,771.62x = 56,266.38 × 22,866.30
  4. Step 4: Simplify right side
    40,771.62x = 1,286,603,924.99
  5. Step 5: Solve for x
    x = 1,286,603,924.99/40,771.62
  6. Step 6: Final answer
    x = 31,556.36

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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.