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Finding the Fourth Proportional to 41,510, 57,283.80 and 26,606

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Solution

The fourth proportional to 41,510, 57,283.80 and 26,606 is: 36,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,510 : 57,283.80 = 26,606 : x
  2. Step 2: Convert to fraction form
    41,510/57,283.80 = 26,606/x
  3. Step 3: Cross multiply
    41,510x = 57,283.80 × 26,606
  4. Step 4: Simplify right side
    41,510x = 1,524,092,782.80
  5. Step 5: Solve for x
    x = 1,524,092,782.80/41,510
  6. Step 6: Final answer
    x = 36,716.28

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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.