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Finding the Fourth Proportional to 31,108, 42,914.24 and 21,039.96

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Solution

The fourth proportional to 31,108, 42,914.24 and 21,039.96 is: 29,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108 : 42,914.24 = 21,039.96 : x
  2. Step 2: Convert to fraction form
    31,108/42,914.24 = 21,039.96/x
  3. Step 3: Cross multiply
    31,108x = 42,914.24 × 21,039.96
  4. Step 4: Simplify right side
    31,108x = 902,913,893.03
  5. Step 5: Solve for x
    x = 902,913,893.03/31,108
  6. Step 6: Final answer
    x = 29,025.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.