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Finding the Fourth Proportional to 34,287.66, 47,311.02 and 20,143.44

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Solution

The fourth proportional to 34,287.66, 47,311.02 and 20,143.44 is: 27,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,287.66 : 47,311.02 = 20,143.44 : x
  2. Step 2: Convert to fraction form
    34,287.66/47,311.02 = 20,143.44/x
  3. Step 3: Cross multiply
    34,287.66x = 47,311.02 × 20,143.44
  4. Step 4: Simplify right side
    34,287.66x = 953,006,692.71
  5. Step 5: Solve for x
    x = 953,006,692.71/34,287.66
  6. Step 6: Final answer
    x = 27,794.45

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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.