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Finding the Fourth Proportional to 37,863.80, 52,253.82 and 21,953.24

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Solution

The fourth proportional to 37,863.80, 52,253.82 and 21,953.24 is: 30,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863.80 : 52,253.82 = 21,953.24 : x
  2. Step 2: Convert to fraction form
    37,863.80/52,253.82 = 21,953.24/x
  3. Step 3: Cross multiply
    37,863.80x = 52,253.82 × 21,953.24
  4. Step 4: Simplify right side
    37,863.80x = 1,147,140,651.38
  5. Step 5: Solve for x
    x = 1,147,140,651.38/37,863.80
  6. Step 6: Final answer
    x = 30,296.50

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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.