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Finding the Fourth Proportional to 49,257.75, 67,976.13 and 28,038.38

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Solution

The fourth proportional to 49,257.75, 67,976.13 and 28,038.38 is: 38,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,257.75 : 67,976.13 = 28,038.38 : x
  2. Step 2: Convert to fraction form
    49,257.75/67,976.13 = 28,038.38/x
  3. Step 3: Cross multiply
    49,257.75x = 67,976.13 × 28,038.38
  4. Step 4: Simplify right side
    49,257.75x = 1,905,940,423.68
  5. Step 5: Solve for x
    x = 1,905,940,423.68/49,257.75
  6. Step 6: Final answer
    x = 38,693.21

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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.