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Finding the Fourth Proportional to 32,135.20, 48,202.80 and 16,583.20

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Solution

The fourth proportional to 32,135.20, 48,202.80 and 16,583.20 is: 24,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.20 : 48,202.80 = 16,583.20 : x
  2. Step 2: Convert to fraction form
    32,135.20/48,202.80 = 16,583.20/x
  3. Step 3: Cross multiply
    32,135.20x = 48,202.80 × 16,583.20
  4. Step 4: Simplify right side
    32,135.20x = 799,356,672.96
  5. Step 5: Solve for x
    x = 799,356,672.96/32,135.20
  6. Step 6: Final answer
    x = 24,874.80

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Why These Related Problems?

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