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Finding the Fourth Proportional to 30,981.36, 42,754.54 and 16,834.20

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Solution

The fourth proportional to 30,981.36, 42,754.54 and 16,834.20 is: 23,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.36 : 42,754.54 = 16,834.20 : x
  2. Step 2: Convert to fraction form
    30,981.36/42,754.54 = 16,834.20/x
  3. Step 3: Cross multiply
    30,981.36x = 42,754.54 × 16,834.20
  4. Step 4: Simplify right side
    30,981.36x = 719,738,477.27
  5. Step 5: Solve for x
    x = 719,738,477.27/30,981.36
  6. Step 6: Final answer
    x = 23,231.34

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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.