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Finding the Fourth Proportional to 31,310.58, 46,967.58 and 7,937.22

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Solution

The fourth proportional to 31,310.58, 46,967.58 and 7,937.22 is: 11,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.58 : 46,967.58 = 7,937.22 : x
  2. Step 2: Convert to fraction form
    31,310.58/46,967.58 = 7,937.22/x
  3. Step 3: Cross multiply
    31,310.58x = 46,967.58 × 7,937.22
  4. Step 4: Simplify right side
    31,310.58x = 372,792,015.33
  5. Step 5: Solve for x
    x = 372,792,015.33/31,310.58
  6. Step 6: Final answer
    x = 11,906.26

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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.