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Finding the Fourth Proportional to 31,049.14, 42,846.54 and 16,902

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Solution

The fourth proportional to 31,049.14, 42,846.54 and 16,902 is: 23,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.14 : 42,846.54 = 16,902 : x
  2. Step 2: Convert to fraction form
    31,049.14/42,846.54 = 16,902/x
  3. Step 3: Cross multiply
    31,049.14x = 42,846.54 × 16,902
  4. Step 4: Simplify right side
    31,049.14x = 724,192,219.08
  5. Step 5: Solve for x
    x = 724,192,219.08/31,049.14
  6. Step 6: Final answer
    x = 23,324.07

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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.