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Finding the Fourth Proportional to 87,594.78, 120,880.92 and 49,869

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Solution

The fourth proportional to 87,594.78, 120,880.92 and 49,869 is: 68,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,594.78 : 120,880.92 = 49,869 : x
  2. Step 2: Convert to fraction form
    87,594.78/120,880.92 = 49,869/x
  3. Step 3: Cross multiply
    87,594.78x = 120,880.92 × 49,869
  4. Step 4: Simplify right side
    87,594.78x = 6,028,210,599.48
  5. Step 5: Solve for x
    x = 6,028,210,599.48/87,594.78
  6. Step 6: Final answer
    x = 68,819.29

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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.