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Finding the Fourth Proportional to 36,280.14, 50,077.05 and 21,940

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Solution

The fourth proportional to 36,280.14, 50,077.05 and 21,940 is: 30,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,280.14 : 50,077.05 = 21,940 : x
  2. Step 2: Convert to fraction form
    36,280.14/50,077.05 = 21,940/x
  3. Step 3: Cross multiply
    36,280.14x = 50,077.05 × 21,940
  4. Step 4: Simplify right side
    36,280.14x = 1,098,690,477
  5. Step 5: Solve for x
    x = 1,098,690,477/36,280.14
  6. Step 6: Final answer
    x = 30,283.52

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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.