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Finding the Fourth Proportional to 31,907.70, 47,863.38 and 9,721.80

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Solution

The fourth proportional to 31,907.70, 47,863.38 and 9,721.80 is: 14,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.70 : 47,863.38 = 9,721.80 : x
  2. Step 2: Convert to fraction form
    31,907.70/47,863.38 = 9,721.80/x
  3. Step 3: Cross multiply
    31,907.70x = 47,863.38 × 9,721.80
  4. Step 4: Simplify right side
    31,907.70x = 465,318,207.68
  5. Step 5: Solve for x
    x = 465,318,207.68/31,907.70
  6. Step 6: Final answer
    x = 14,583.26

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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.