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Finding the Fourth Proportional to 41,504, 57,275.52 and 26,600

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Solution

The fourth proportional to 41,504, 57,275.52 and 26,600 is: 36,708

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,504 : 57,275.52 = 26,600 : x
  2. Step 2: Convert to fraction form
    41,504/57,275.52 = 26,600/x
  3. Step 3: Cross multiply
    41,504x = 57,275.52 × 26,600
  4. Step 4: Simplify right side
    41,504x = 1,523,528,832
  5. Step 5: Solve for x
    x = 1,523,528,832/41,504
  6. Step 6: Final answer
    x = 36,708

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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.