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Finding the Fourth Proportional to 37,862.20, 52,249.98 and 21,956.02

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Solution

The fourth proportional to 37,862.20, 52,249.98 and 21,956.02 is: 30,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,862.20 : 52,249.98 = 21,956.02 : x
  2. Step 2: Convert to fraction form
    37,862.20/52,249.98 = 21,956.02/x
  3. Step 3: Cross multiply
    37,862.20x = 52,249.98 × 21,956.02
  4. Step 4: Simplify right side
    37,862.20x = 1,147,201,605.88
  5. Step 5: Solve for x
    x = 1,147,201,605.88/37,862.20
  6. Step 6: Final answer
    x = 30,299.39

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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.