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Finding the Fourth Proportional to 87,794.92, 121,158.84 and 51,971.86

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Solution

The fourth proportional to 87,794.92, 121,158.84 and 51,971.86 is: 71,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,794.92 : 121,158.84 = 51,971.86 : x
  2. Step 2: Convert to fraction form
    87,794.92/121,158.84 = 51,971.86/x
  3. Step 3: Cross multiply
    87,794.92x = 121,158.84 × 51,971.86
  4. Step 4: Simplify right side
    87,794.92x = 6,296,850,270.24
  5. Step 5: Solve for x
    x = 6,296,850,270.24/87,794.92
  6. Step 6: Final answer
    x = 71,722.26

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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.