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Finding the Fourth Proportional to 31,116.92, 46,648.64 and 11,391.39

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Solution

The fourth proportional to 31,116.92, 46,648.64 and 11,391.39 is: 17,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116.92 : 46,648.64 = 11,391.39 : x
  2. Step 2: Convert to fraction form
    31,116.92/46,648.64 = 11,391.39/x
  3. Step 3: Cross multiply
    31,116.92x = 46,648.64 × 11,391.39
  4. Step 4: Simplify right side
    31,116.92x = 531,392,794.25
  5. Step 5: Solve for x
    x = 531,392,794.25/31,116.92
  6. Step 6: Final answer
    x = 17,077.30

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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.