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Finding the Fourth Proportional to 23,872.77, 35,813.03 and 8,078.78

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Solution

The fourth proportional to 23,872.77, 35,813.03 and 8,078.78 is: 12,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.77 : 35,813.03 = 8,078.78 : x
  2. Step 2: Convert to fraction form
    23,872.77/35,813.03 = 8,078.78/x
  3. Step 3: Cross multiply
    23,872.77x = 35,813.03 × 8,078.78
  4. Step 4: Simplify right side
    23,872.77x = 289,325,371.04
  5. Step 5: Solve for x
    x = 289,325,371.04/23,872.77
  6. Step 6: Final answer
    x = 12,119.47

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1.5x scale

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.