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Finding the Fourth Proportional to 35,997.20, 49,675.02 and 20,084.34

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Solution

The fourth proportional to 35,997.20, 49,675.02 and 20,084.34 is: 27,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.20 : 49,675.02 = 20,084.34 : x
  2. Step 2: Convert to fraction form
    35,997.20/49,675.02 = 20,084.34/x
  3. Step 3: Cross multiply
    35,997.20x = 49,675.02 × 20,084.34
  4. Step 4: Simplify right side
    35,997.20x = 997,689,991.19
  5. Step 5: Solve for x
    x = 997,689,991.19/35,997.20
  6. Step 6: Final answer
    x = 27,715.77

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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.