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Finding the Fourth Proportional to 31,102.44, 46,639.92 and 8,910.78

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Solution

The fourth proportional to 31,102.44, 46,639.92 and 8,910.78 is: 13,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.44 : 46,639.92 = 8,910.78 : x
  2. Step 2: Convert to fraction form
    31,102.44/46,639.92 = 8,910.78/x
  3. Step 3: Cross multiply
    31,102.44x = 46,639.92 × 8,910.78
  4. Step 4: Simplify right side
    31,102.44x = 415,598,066.34
  5. Step 5: Solve for x
    x = 415,598,066.34/31,102.44
  6. Step 6: Final answer
    x = 13,362.23

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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.