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Finding the Fourth Proportional to 32,375.64, 48,563.78 and 9,002.20

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Solution

The fourth proportional to 32,375.64, 48,563.78 and 9,002.20 is: 13,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.64 : 48,563.78 = 9,002.20 : x
  2. Step 2: Convert to fraction form
    32,375.64/48,563.78 = 9,002.20/x
  3. Step 3: Cross multiply
    32,375.64x = 48,563.78 × 9,002.20
  4. Step 4: Simplify right side
    32,375.64x = 437,180,860.32
  5. Step 5: Solve for x
    x = 437,180,860.32/32,375.64
  6. Step 6: Final answer
    x = 13,503.39

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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.