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Finding the Fourth Proportional to 30,981.52, 42,754.26 and 16,834.33

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Solution

The fourth proportional to 30,981.52, 42,754.26 and 16,834.33 is: 23,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.52 : 42,754.26 = 16,834.33 : x
  2. Step 2: Convert to fraction form
    30,981.52/42,754.26 = 16,834.33/x
  3. Step 3: Cross multiply
    30,981.52x = 42,754.26 × 16,834.33
  4. Step 4: Simplify right side
    30,981.52x = 719,739,321.75
  5. Step 5: Solve for x
    x = 719,739,321.75/30,981.52
  6. Step 6: Final answer
    x = 23,231.25

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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.