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Finding the Fourth Proportional to 41,797.61, 57,680.70 and 23,893

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Solution

The fourth proportional to 41,797.61, 57,680.70 and 23,893 is: 32,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,797.61 : 57,680.70 = 23,893 : x
  2. Step 2: Convert to fraction form
    41,797.61/57,680.70 = 23,893/x
  3. Step 3: Cross multiply
    41,797.61x = 57,680.70 × 23,893
  4. Step 4: Simplify right side
    41,797.61x = 1,378,164,965.10
  5. Step 5: Solve for x
    x = 1,378,164,965.10/41,797.61
  6. Step 6: Final answer
    x = 32,972.34

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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.