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Finding the Fourth Proportional to 32,282.96, 48,428.28 and 13,812.56

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Solution

The fourth proportional to 32,282.96, 48,428.28 and 13,812.56 is: 20,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.96 : 48,428.28 = 13,812.56 : x
  2. Step 2: Convert to fraction form
    32,282.96/48,428.28 = 13,812.56/x
  3. Step 3: Cross multiply
    32,282.96x = 48,428.28 × 13,812.56
  4. Step 4: Simplify right side
    32,282.96x = 668,918,523.20
  5. Step 5: Solve for x
    x = 668,918,523.20/32,282.96
  6. Step 6: Final answer
    x = 20,720.48

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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.