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Finding the Fourth Proportional to 31,845, 43,946.13 and 17,699.16

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Solution

The fourth proportional to 31,845, 43,946.13 and 17,699.16 is: 24,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,845 : 43,946.13 = 17,699.16 : x
  2. Step 2: Convert to fraction form
    31,845/43,946.13 = 17,699.16/x
  3. Step 3: Cross multiply
    31,845x = 43,946.13 × 17,699.16
  4. Step 4: Simplify right side
    31,845x = 777,809,586.25
  5. Step 5: Solve for x
    x = 777,809,586.25/31,845
  6. Step 6: Final answer
    x = 24,424.86

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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.