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Finding the Fourth Proportional to 35,642.67, 53,469.41 and 25,855.80

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Solution

The fourth proportional to 35,642.67, 53,469.41 and 25,855.80 is: 38,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.67 : 53,469.41 = 25,855.80 : x
  2. Step 2: Convert to fraction form
    35,642.67/53,469.41 = 25,855.80/x
  3. Step 3: Cross multiply
    35,642.67x = 53,469.41 × 25,855.80
  4. Step 4: Simplify right side
    35,642.67x = 1,382,494,371.08
  5. Step 5: Solve for x
    x = 1,382,494,371.08/35,642.67
  6. Step 6: Final answer
    x = 38,787.62

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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.