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Finding the Fourth Proportional to 87,092.84, 120,192.84 and 48,864.48

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Solution

The fourth proportional to 87,092.84, 120,192.84 and 48,864.48 is: 67,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,092.84 : 120,192.84 = 48,864.48 : x
  2. Step 2: Convert to fraction form
    87,092.84/120,192.84 = 48,864.48/x
  3. Step 3: Cross multiply
    87,092.84x = 120,192.84 × 48,864.48
  4. Step 4: Simplify right side
    87,092.84x = 5,873,160,626.32
  5. Step 5: Solve for x
    x = 5,873,160,626.32/87,092.84
  6. Step 6: Final answer
    x = 67,435.63

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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.