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Finding the Fourth Proportional to 37,616.38, 51,909.33 and 21,700.42

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Solution

The fourth proportional to 37,616.38, 51,909.33 and 21,700.42 is: 29,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.38 : 51,909.33 = 21,700.42 : x
  2. Step 2: Convert to fraction form
    37,616.38/51,909.33 = 21,700.42/x
  3. Step 3: Cross multiply
    37,616.38x = 51,909.33 × 21,700.42
  4. Step 4: Simplify right side
    37,616.38x = 1,126,454,262.92
  5. Step 5: Solve for x
    x = 1,126,454,262.92/37,616.38
  6. Step 6: Final answer
    x = 29,945.84

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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.