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Finding the Fourth Proportional to 36,217.76, 54,342.25 and 19,589.50

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Solution

The fourth proportional to 36,217.76, 54,342.25 and 19,589.50 is: 29,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,217.76 : 54,342.25 = 19,589.50 : x
  2. Step 2: Convert to fraction form
    36,217.76/54,342.25 = 19,589.50/x
  3. Step 3: Cross multiply
    36,217.76x = 54,342.25 × 19,589.50
  4. Step 4: Simplify right side
    36,217.76x = 1,064,537,321.55
  5. Step 5: Solve for x
    x = 1,064,537,321.55/36,217.76
  6. Step 6: Final answer
    x = 29,392.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.