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Finding the Fourth Proportional to 37,616.12, 51,909.49 and 20,620.38

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Solution

The fourth proportional to 37,616.12, 51,909.49 and 20,620.38 is: 28,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.12 : 51,909.49 = 20,620.38 : x
  2. Step 2: Convert to fraction form
    37,616.12/51,909.49 = 20,620.38/x
  3. Step 3: Cross multiply
    37,616.12x = 51,909.49 × 20,620.38
  4. Step 4: Simplify right side
    37,616.12x = 1,070,393,409.41
  5. Step 5: Solve for x
    x = 1,070,393,409.41/37,616.12
  6. Step 6: Final answer
    x = 28,455.71

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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.