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Finding the Fourth Proportional to 32,856.40, 49,252.20 and 16,202.80

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Solution

The fourth proportional to 32,856.40, 49,252.20 and 16,202.80 is: 24,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.40 : 49,252.20 = 16,202.80 : x
  2. Step 2: Convert to fraction form
    32,856.40/49,252.20 = 16,202.80/x
  3. Step 3: Cross multiply
    32,856.40x = 49,252.20 × 16,202.80
  4. Step 4: Simplify right side
    32,856.40x = 798,023,546.16
  5. Step 5: Solve for x
    x = 798,023,546.16/32,856.40
  6. Step 6: Final answer
    x = 24,288.22

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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.