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Finding the Fourth Proportional to 36,567.44, 54,859.44 and 11,609

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Solution

The fourth proportional to 36,567.44, 54,859.44 and 11,609 is: 17,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,567.44 : 54,859.44 = 11,609 : x
  2. Step 2: Convert to fraction form
    36,567.44/54,859.44 = 11,609/x
  3. Step 3: Cross multiply
    36,567.44x = 54,859.44 × 11,609
  4. Step 4: Simplify right side
    36,567.44x = 636,863,238.96
  5. Step 5: Solve for x
    x = 636,863,238.96/36,567.44
  6. Step 6: Final answer
    x = 17,416.13

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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.