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Finding the Fourth Proportional to 56,846.20, 85,220.68 and 21,811

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Solution

The fourth proportional to 56,846.20, 85,220.68 and 21,811 is: 32,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,846.20 : 85,220.68 = 21,811 : x
  2. Step 2: Convert to fraction form
    56,846.20/85,220.68 = 21,811/x
  3. Step 3: Cross multiply
    56,846.20x = 85,220.68 × 21,811
  4. Step 4: Simplify right side
    56,846.20x = 1,858,748,251.48
  5. Step 5: Solve for x
    x = 1,858,748,251.48/56,846.20
  6. Step 6: Final answer
    x = 32,697.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.