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Finding the Fourth Proportional to 41,800.62, 57,684.84 and 23,896

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Solution

The fourth proportional to 41,800.62, 57,684.84 and 23,896 is: 32,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800.62 : 57,684.84 = 23,896 : x
  2. Step 2: Convert to fraction form
    41,800.62/57,684.84 = 23,896/x
  3. Step 3: Cross multiply
    41,800.62x = 57,684.84 × 23,896
  4. Step 4: Simplify right side
    41,800.62x = 1,378,436,936.64
  5. Step 5: Solve for x
    x = 1,378,436,936.64/41,800.62
  6. Step 6: Final answer
    x = 32,976.47

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1.5x scale

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.