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Finding the Fourth Proportional to 39,877.38, 55,031.79 and 21,972.38

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Solution

The fourth proportional to 39,877.38, 55,031.79 and 21,972.38 is: 30,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,877.38 : 55,031.79 = 21,972.38 : x
  2. Step 2: Convert to fraction form
    39,877.38/55,031.79 = 21,972.38/x
  3. Step 3: Cross multiply
    39,877.38x = 55,031.79 × 21,972.38
  4. Step 4: Simplify right side
    39,877.38x = 1,209,179,401.96
  5. Step 5: Solve for x
    x = 1,209,179,401.96/39,877.38
  6. Step 6: Final answer
    x = 30,322.44

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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.