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Finding the Fourth Proportional to 36,648.48, 54,984.40 and 16,382.11

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Solution

The fourth proportional to 36,648.48, 54,984.40 and 16,382.11 is: 24,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,648.48 : 54,984.40 = 16,382.11 : x
  2. Step 2: Convert to fraction form
    36,648.48/54,984.40 = 16,382.11/x
  3. Step 3: Cross multiply
    36,648.48x = 54,984.40 × 16,382.11
  4. Step 4: Simplify right side
    36,648.48x = 900,760,667.50
  5. Step 5: Solve for x
    x = 900,760,667.50/36,648.48
  6. Step 6: Final answer
    x = 24,578.39

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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.