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Finding the Fourth Proportional to 27,695, 41,552.21 and 17,294.60

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Solution

The fourth proportional to 27,695, 41,552.21 and 17,294.60 is: 25,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695 : 41,552.21 = 17,294.60 : x
  2. Step 2: Convert to fraction form
    27,695/41,552.21 = 17,294.60/x
  3. Step 3: Cross multiply
    27,695x = 41,552.21 × 17,294.60
  4. Step 4: Simplify right side
    27,695x = 718,628,851.07
  5. Step 5: Solve for x
    x = 718,628,851.07/27,695
  6. Step 6: Final answer
    x = 25,947.96

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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.