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Finding the Fourth Proportional to 31,299.36, 46,950.75 and 7,926

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Solution

The fourth proportional to 31,299.36, 46,950.75 and 7,926 is: 11,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.36 : 46,950.75 = 7,926 : x
  2. Step 2: Convert to fraction form
    31,299.36/46,950.75 = 7,926/x
  3. Step 3: Cross multiply
    31,299.36x = 46,950.75 × 7,926
  4. Step 4: Simplify right side
    31,299.36x = 372,131,644.50
  5. Step 5: Solve for x
    x = 372,131,644.50/31,299.36
  6. Step 6: Final answer
    x = 11,889.43

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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.