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Finding the Fourth Proportional to 57,896.80, 86,853.30 and 24,616.60

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Solution

The fourth proportional to 57,896.80, 86,853.30 and 24,616.60 is: 36,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,896.80 : 86,853.30 = 24,616.60 : x
  2. Step 2: Convert to fraction form
    57,896.80/86,853.30 = 24,616.60/x
  3. Step 3: Cross multiply
    57,896.80x = 86,853.30 × 24,616.60
  4. Step 4: Simplify right side
    57,896.80x = 2,138,032,944.78
  5. Step 5: Solve for x
    x = 2,138,032,944.78/57,896.80
  6. Step 6: Final answer
    x = 36,928.34

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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.