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Finding the Fourth Proportional to 49,358.92, 68,098.74 and 28,123.24

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Solution

The fourth proportional to 49,358.92, 68,098.74 and 28,123.24 is: 38,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,358.92 : 68,098.74 = 28,123.24 : x
  2. Step 2: Convert to fraction form
    49,358.92/68,098.74 = 28,123.24/x
  3. Step 3: Cross multiply
    49,358.92x = 68,098.74 × 28,123.24
  4. Step 4: Simplify right side
    49,358.92x = 1,915,157,208.72
  5. Step 5: Solve for x
    x = 1,915,157,208.72/49,358.92
  6. Step 6: Final answer
    x = 38,800.63

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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.