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Finding the Fourth Proportional to 40,329, 55,654.02 and 22,665

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Solution

The fourth proportional to 40,329, 55,654.02 and 22,665 is: 31,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,329 : 55,654.02 = 22,665 : x
  2. Step 2: Convert to fraction form
    40,329/55,654.02 = 22,665/x
  3. Step 3: Cross multiply
    40,329x = 55,654.02 × 22,665
  4. Step 4: Simplify right side
    40,329x = 1,261,398,363.30
  5. Step 5: Solve for x
    x = 1,261,398,363.30/40,329
  6. Step 6: Final answer
    x = 31,277.70

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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.