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Finding the Fourth Proportional to 34,542.02, 47,667.51 and 20,211.70

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Solution

The fourth proportional to 34,542.02, 47,667.51 and 20,211.70 is: 27,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.02 : 47,667.51 = 20,211.70 : x
  2. Step 2: Convert to fraction form
    34,542.02/47,667.51 = 20,211.70/x
  3. Step 3: Cross multiply
    34,542.02x = 47,667.51 × 20,211.70
  4. Step 4: Simplify right side
    34,542.02x = 963,441,411.87
  5. Step 5: Solve for x
    x = 963,441,411.87/34,542.02
  6. Step 6: Final answer
    x = 27,891.87

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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.