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Finding the Fourth Proportional to 31,071.41, 42,878.60 and 16,924.31

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Solution

The fourth proportional to 31,071.41, 42,878.60 and 16,924.31 is: 23,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.41 : 42,878.60 = 16,924.31 : x
  2. Step 2: Convert to fraction form
    31,071.41/42,878.60 = 16,924.31/x
  3. Step 3: Cross multiply
    31,071.41x = 42,878.60 × 16,924.31
  4. Step 4: Simplify right side
    31,071.41x = 725,690,419.75
  5. Step 5: Solve for x
    x = 725,690,419.75/31,071.41
  6. Step 6: Final answer
    x = 23,355.57

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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.