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Finding the Fourth Proportional to 31,093.54, 46,650.16 and 11,102.57

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Solution

The fourth proportional to 31,093.54, 46,650.16 and 11,102.57 is: 16,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.54 : 46,650.16 = 11,102.57 : x
  2. Step 2: Convert to fraction form
    31,093.54/46,650.16 = 11,102.57/x
  3. Step 3: Cross multiply
    31,093.54x = 46,650.16 × 11,102.57
  4. Step 4: Simplify right side
    31,093.54x = 517,936,622.48
  5. Step 5: Solve for x
    x = 517,936,622.48/31,093.54
  6. Step 6: Final answer
    x = 16,657.37

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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.