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Finding the Fourth Proportional to 36,237.63, 54,375 and 16,513.65

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Solution

The fourth proportional to 36,237.63, 54,375 and 16,513.65 is: 24,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,237.63 : 54,375 = 16,513.65 : x
  2. Step 2: Convert to fraction form
    36,237.63/54,375 = 16,513.65/x
  3. Step 3: Cross multiply
    36,237.63x = 54,375 × 16,513.65
  4. Step 4: Simplify right side
    36,237.63x = 897,929,718.75
  5. Step 5: Solve for x
    x = 897,929,718.75/36,237.63
  6. Step 6: Final answer
    x = 24,778.93

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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.