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Finding the Fourth Proportional to 36,981.38, 51,034.30 and 20,214.38

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Solution

The fourth proportional to 36,981.38, 51,034.30 and 20,214.38 is: 27,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,981.38 : 51,034.30 = 20,214.38 : x
  2. Step 2: Convert to fraction form
    36,981.38/51,034.30 = 20,214.38/x
  3. Step 3: Cross multiply
    36,981.38x = 51,034.30 × 20,214.38
  4. Step 4: Simplify right side
    36,981.38x = 1,031,626,427.53
  5. Step 5: Solve for x
    x = 1,031,626,427.53/36,981.38
  6. Step 6: Final answer
    x = 27,895.84

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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.