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Finding the Fourth Proportional to 49,601.68, 68,455.92 and 28,384

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Solution

The fourth proportional to 49,601.68, 68,455.92 and 28,384 is: 39,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,601.68 : 68,455.92 = 28,384 : x
  2. Step 2: Convert to fraction form
    49,601.68/68,455.92 = 28,384/x
  3. Step 3: Cross multiply
    49,601.68x = 68,455.92 × 28,384
  4. Step 4: Simplify right side
    49,601.68x = 1,943,052,833.28
  5. Step 5: Solve for x
    x = 1,943,052,833.28/49,601.68
  6. Step 6: Final answer
    x = 39,173.13

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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.