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Finding the Fourth Proportional to 69,472.24, 95,871.56 and 37,642

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Solution

The fourth proportional to 69,472.24, 95,871.56 and 37,642 is: 51,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,472.24 : 95,871.56 = 37,642 : x
  2. Step 2: Convert to fraction form
    69,472.24/95,871.56 = 37,642/x
  3. Step 3: Cross multiply
    69,472.24x = 95,871.56 × 37,642
  4. Step 4: Simplify right side
    69,472.24x = 3,608,797,261.52
  5. Step 5: Solve for x
    x = 3,608,797,261.52/69,472.24
  6. Step 6: Final answer
    x = 51,945.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.