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Finding the Fourth Proportional to 37,612.20, 51,903.02 and 21,701.78

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Solution

The fourth proportional to 37,612.20, 51,903.02 and 21,701.78 is: 29,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,612.20 : 51,903.02 = 21,701.78 : x
  2. Step 2: Convert to fraction form
    37,612.20/51,903.02 = 21,701.78/x
  3. Step 3: Cross multiply
    37,612.20x = 51,903.02 × 21,701.78
  4. Step 4: Simplify right side
    37,612.20x = 1,126,387,921.38
  5. Step 5: Solve for x
    x = 1,126,387,921.38/37,612.20
  6. Step 6: Final answer
    x = 29,947.41

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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.