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Finding the Fourth Proportional to 39,878.38, 55,031.88 and 21,972.96

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Solution

The fourth proportional to 39,878.38, 55,031.88 and 21,972.96 is: 30,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.38 : 55,031.88 = 21,972.96 : x
  2. Step 2: Convert to fraction form
    39,878.38/55,031.88 = 21,972.96/x
  3. Step 3: Cross multiply
    39,878.38x = 55,031.88 × 21,972.96
  4. Step 4: Simplify right side
    39,878.38x = 1,209,213,297.96
  5. Step 5: Solve for x
    x = 1,209,213,297.96/39,878.38
  6. Step 6: Final answer
    x = 30,322.53

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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.