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Finding the Fourth Proportional to 31,356.26, 47,036.82 and 7,982.50

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Solution

The fourth proportional to 31,356.26, 47,036.82 and 7,982.50 is: 11,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356.26 : 47,036.82 = 7,982.50 : x
  2. Step 2: Convert to fraction form
    31,356.26/47,036.82 = 7,982.50/x
  3. Step 3: Cross multiply
    31,356.26x = 47,036.82 × 7,982.50
  4. Step 4: Simplify right side
    31,356.26x = 375,471,415.65
  5. Step 5: Solve for x
    x = 375,471,415.65/31,356.26
  6. Step 6: Final answer
    x = 11,974.37

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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.