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Finding the Fourth Proportional to 34,542.34, 47,667.90 and 20,205.34

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Solution

The fourth proportional to 34,542.34, 47,667.90 and 20,205.34 is: 27,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.34 : 47,667.90 = 20,205.34 : x
  2. Step 2: Convert to fraction form
    34,542.34/47,667.90 = 20,205.34/x
  3. Step 3: Cross multiply
    34,542.34x = 47,667.90 × 20,205.34
  4. Step 4: Simplify right side
    34,542.34x = 963,146,126.59
  5. Step 5: Solve for x
    x = 963,146,126.59/34,542.34
  6. Step 6: Final answer
    x = 27,883.06

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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.