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Finding the Fourth Proportional to 34,816.80, 52,138.80 and 27,904.80

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Solution

The fourth proportional to 34,816.80, 52,138.80 and 27,904.80 is: 41,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,816.80 : 52,138.80 = 27,904.80 : x
  2. Step 2: Convert to fraction form
    34,816.80/52,138.80 = 27,904.80/x
  3. Step 3: Cross multiply
    34,816.80x = 52,138.80 × 27,904.80
  4. Step 4: Simplify right side
    34,816.80x = 1,454,922,786.24
  5. Step 5: Solve for x
    x = 1,454,922,786.24/34,816.80
  6. Step 6: Final answer
    x = 41,787.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.