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Finding the Fourth Proportional to 27,653, 38,174.76 and 19,161.56

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Solution

The fourth proportional to 27,653, 38,174.76 and 19,161.56 is: 26,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653 : 38,174.76 = 19,161.56 : x
  2. Step 2: Convert to fraction form
    27,653/38,174.76 = 19,161.56/x
  3. Step 3: Cross multiply
    27,653x = 38,174.76 × 19,161.56
  4. Step 4: Simplify right side
    27,653x = 731,487,954.23
  5. Step 5: Solve for x
    x = 731,487,954.23/27,653
  6. Step 6: Final answer
    x = 26,452.39

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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.