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Finding the Fourth Proportional to 49,456.52, 68,228.34 and 29,573

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Solution

The fourth proportional to 49,456.52, 68,228.34 and 29,573 is: 40,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456.52 : 68,228.34 = 29,573 : x
  2. Step 2: Convert to fraction form
    49,456.52/68,228.34 = 29,573/x
  3. Step 3: Cross multiply
    49,456.52x = 68,228.34 × 29,573
  4. Step 4: Simplify right side
    49,456.52x = 2,017,716,698.82
  5. Step 5: Solve for x
    x = 2,017,716,698.82/49,456.52
  6. Step 6: Final answer
    x = 40,797.79

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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.