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Finding the Fourth Proportional to 27,488, 41,232.28 and 6,711.50

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Solution

The fourth proportional to 27,488, 41,232.28 and 6,711.50 is: 10,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488 : 41,232.28 = 6,711.50 : x
  2. Step 2: Convert to fraction form
    27,488/41,232.28 = 6,711.50/x
  3. Step 3: Cross multiply
    27,488x = 41,232.28 × 6,711.50
  4. Step 4: Simplify right side
    27,488x = 276,730,447.22
  5. Step 5: Solve for x
    x = 276,730,447.22/27,488
  6. Step 6: Final answer
    x = 10,067.32

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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.