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Finding the Fourth Proportional to 32,213.76, 48,274.92 and 13,473.60

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Solution

The fourth proportional to 32,213.76, 48,274.92 and 13,473.60 is: 20,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.76 : 48,274.92 = 13,473.60 : x
  2. Step 2: Convert to fraction form
    32,213.76/48,274.92 = 13,473.60/x
  3. Step 3: Cross multiply
    32,213.76x = 48,274.92 × 13,473.60
  4. Step 4: Simplify right side
    32,213.76x = 650,436,962.11
  5. Step 5: Solve for x
    x = 650,436,962.11/32,213.76
  6. Step 6: Final answer
    x = 20,191.28

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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.