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Finding the Fourth Proportional to 49,507.92, 68,324.83 and 28,002.18

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Solution

The fourth proportional to 49,507.92, 68,324.83 and 28,002.18 is: 38,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,507.92 : 68,324.83 = 28,002.18 : x
  2. Step 2: Convert to fraction form
    49,507.92/68,324.83 = 28,002.18/x
  3. Step 3: Cross multiply
    49,507.92x = 68,324.83 × 28,002.18
  4. Step 4: Simplify right side
    49,507.92x = 1,913,244,188.13
  5. Step 5: Solve for x
    x = 1,913,244,188.13/49,507.92
  6. Step 6: Final answer
    x = 38,645.22

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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.