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Finding the Fourth Proportional to 31,144.88, 46,717.32 and 7,771.31

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Solution

The fourth proportional to 31,144.88, 46,717.32 and 7,771.31 is: 11,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.88 : 46,717.32 = 7,771.31 : x
  2. Step 2: Convert to fraction form
    31,144.88/46,717.32 = 7,771.31/x
  3. Step 3: Cross multiply
    31,144.88x = 46,717.32 × 7,771.31
  4. Step 4: Simplify right side
    31,144.88x = 363,054,776.09
  5. Step 5: Solve for x
    x = 363,054,776.09/31,144.88
  6. Step 6: Final answer
    x = 11,656.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.