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Finding the Fourth Proportional to 51,471.24, 71,034.00 and 37,921.41

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Solution

The fourth proportional to 51,471.24, 71,034.00 and 37,921.41 is: 52,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471.24 : 71,034.00 = 37,921.41 : x
  2. Step 2: Convert to fraction form
    51,471.24/71,034.00 = 37,921.41/x
  3. Step 3: Cross multiply
    51,471.24x = 71,034.00 × 37,921.41
  4. Step 4: Simplify right side
    51,471.24x = 2,693,709,248.33
  5. Step 5: Solve for x
    x = 2,693,709,248.33/51,471.24
  6. Step 6: Final answer
    x = 52,334.26

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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.