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Finding the Fourth Proportional to 34,541.84, 47,667.21 and 20,204.84

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Solution

The fourth proportional to 34,541.84, 47,667.21 and 20,204.84 is: 27,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,541.84 : 47,667.21 = 20,204.84 : x
  2. Step 2: Convert to fraction form
    34,541.84/47,667.21 = 20,204.84/x
  3. Step 3: Cross multiply
    34,541.84x = 47,667.21 × 20,204.84
  4. Step 4: Simplify right side
    34,541.84x = 963,108,351.30
  5. Step 5: Solve for x
    x = 963,108,351.30/34,541.84
  6. Step 6: Final answer
    x = 27,882.37

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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.