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Finding the Fourth Proportional to 31,092.68, 42,906.52 and 16,945.48

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Solution

The fourth proportional to 31,092.68, 42,906.52 and 16,945.48 is: 23,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.68 : 42,906.52 = 16,945.48 : x
  2. Step 2: Convert to fraction form
    31,092.68/42,906.52 = 16,945.48/x
  3. Step 3: Cross multiply
    31,092.68x = 42,906.52 × 16,945.48
  4. Step 4: Simplify right side
    31,092.68x = 727,071,576.53
  5. Step 5: Solve for x
    x = 727,071,576.53/31,092.68
  6. Step 6: Final answer
    x = 23,384.01

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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.