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Finding the Fourth Proportional to 36,723.25, 55,085.96 and 9,021.25

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Solution

The fourth proportional to 36,723.25, 55,085.96 and 9,021.25 is: 13,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,723.25 : 55,085.96 = 9,021.25 : x
  2. Step 2: Convert to fraction form
    36,723.25/55,085.96 = 9,021.25/x
  3. Step 3: Cross multiply
    36,723.25x = 55,085.96 × 9,021.25
  4. Step 4: Simplify right side
    36,723.25x = 496,944,216.65
  5. Step 5: Solve for x
    x = 496,944,216.65/36,723.25
  6. Step 6: Final answer
    x = 13,532.14

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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.