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Finding the Fourth Proportional to 36,509.69, 54,769.91 and 11,544.08

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Solution

The fourth proportional to 36,509.69, 54,769.91 and 11,544.08 is: 17,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.69 : 54,769.91 = 11,544.08 : x
  2. Step 2: Convert to fraction form
    36,509.69/54,769.91 = 11,544.08/x
  3. Step 3: Cross multiply
    36,509.69x = 54,769.91 × 11,544.08
  4. Step 4: Simplify right side
    36,509.69x = 632,267,891.06
  5. Step 5: Solve for x
    x = 632,267,891.06/36,509.69
  6. Step 6: Final answer
    x = 17,317.81

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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.