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Finding the Fourth Proportional to 36,578.52, 54,860.88 and 17,839.74

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Solution

The fourth proportional to 36,578.52, 54,860.88 and 17,839.74 is: 26,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.52 : 54,860.88 = 17,839.74 : x
  2. Step 2: Convert to fraction form
    36,578.52/54,860.88 = 17,839.74/x
  3. Step 3: Cross multiply
    36,578.52x = 54,860.88 × 17,839.74
  4. Step 4: Simplify right side
    36,578.52x = 978,703,835.37
  5. Step 5: Solve for x
    x = 978,703,835.37/36,578.52
  6. Step 6: Final answer
    x = 26,756.24

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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.