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Finding the Fourth Proportional to 27,675.45, 38,180.63 and 17,609.45

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Solution

The fourth proportional to 27,675.45, 38,180.63 and 17,609.45 is: 24,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.45 : 38,180.63 = 17,609.45 : x
  2. Step 2: Convert to fraction form
    27,675.45/38,180.63 = 17,609.45/x
  3. Step 3: Cross multiply
    27,675.45x = 38,180.63 × 17,609.45
  4. Step 4: Simplify right side
    27,675.45x = 672,339,748.07
  5. Step 5: Solve for x
    x = 672,339,748.07/27,675.45
  6. Step 6: Final answer
    x = 24,293.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.