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Finding the Fourth Proportional to 36,467.82, 54,701.75 and 11,509.82

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Solution

The fourth proportional to 36,467.82, 54,701.75 and 11,509.82 is: 17,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,467.82 : 54,701.75 = 11,509.82 : x
  2. Step 2: Convert to fraction form
    36,467.82/54,701.75 = 11,509.82/x
  3. Step 3: Cross multiply
    36,467.82x = 54,701.75 × 11,509.82
  4. Step 4: Simplify right side
    36,467.82x = 629,607,296.19
  5. Step 5: Solve for x
    x = 629,607,296.19/36,467.82
  6. Step 6: Final answer
    x = 17,264.74

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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.