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Finding the Fourth Proportional to 32,223.56, 48,343.02 and 13,757

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Solution

The fourth proportional to 32,223.56, 48,343.02 and 13,757 is: 20,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223.56 : 48,343.02 = 13,757 : x
  2. Step 2: Convert to fraction form
    32,223.56/48,343.02 = 13,757/x
  3. Step 3: Cross multiply
    32,223.56x = 48,343.02 × 13,757
  4. Step 4: Simplify right side
    32,223.56x = 665,054,926.14
  5. Step 5: Solve for x
    x = 665,054,926.14/32,223.56
  6. Step 6: Final answer
    x = 20,638.78

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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.