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Finding the Fourth Proportional to 31,099.96, 42,917.94 and 17,671.24

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Solution

The fourth proportional to 31,099.96, 42,917.94 and 17,671.24 is: 24,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.96 : 42,917.94 = 17,671.24 : x
  2. Step 2: Convert to fraction form
    31,099.96/42,917.94 = 17,671.24/x
  3. Step 3: Cross multiply
    31,099.96x = 42,917.94 × 17,671.24
  4. Step 4: Simplify right side
    31,099.96x = 758,413,218.05
  5. Step 5: Solve for x
    x = 758,413,218.05/31,099.96
  6. Step 6: Final answer
    x = 24,386.31

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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.