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Finding the Fourth Proportional to 37,581.78, 51,862.83 and 20,814.78

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Solution

The fourth proportional to 37,581.78, 51,862.83 and 20,814.78 is: 28,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,581.78 : 51,862.83 = 20,814.78 : x
  2. Step 2: Convert to fraction form
    37,581.78/51,862.83 = 20,814.78/x
  3. Step 3: Cross multiply
    37,581.78x = 51,862.83 × 20,814.78
  4. Step 4: Simplify right side
    37,581.78x = 1,079,513,396.63
  5. Step 5: Solve for x
    x = 1,079,513,396.63/37,581.78
  6. Step 6: Final answer
    x = 28,724.38

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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.