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Finding the Fourth Proportional to 31,107.44, 46,661.20 and 7,733.88

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Solution

The fourth proportional to 31,107.44, 46,661.20 and 7,733.88 is: 11,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.44 : 46,661.20 = 7,733.88 : x
  2. Step 2: Convert to fraction form
    31,107.44/46,661.20 = 7,733.88/x
  3. Step 3: Cross multiply
    31,107.44x = 46,661.20 × 7,733.88
  4. Step 4: Simplify right side
    31,107.44x = 360,872,121.46
  5. Step 5: Solve for x
    x = 360,872,121.46/31,107.44
  6. Step 6: Final answer
    x = 11,600.83

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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.