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Finding the Fourth Proportional to 30,902.27, 42,644.75 and 16,754.81

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Solution

The fourth proportional to 30,902.27, 42,644.75 and 16,754.81 is: 23,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.27 : 42,644.75 = 16,754.81 : x
  2. Step 2: Convert to fraction form
    30,902.27/42,644.75 = 16,754.81/x
  3. Step 3: Cross multiply
    30,902.27x = 42,644.75 × 16,754.81
  4. Step 4: Simplify right side
    30,902.27x = 714,504,386.75
  5. Step 5: Solve for x
    x = 714,504,386.75/30,902.27
  6. Step 6: Final answer
    x = 23,121.42

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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.