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Finding the Fourth Proportional to 32,493.44, 48,741.88 and 9,121.70

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Solution

The fourth proportional to 32,493.44, 48,741.88 and 9,121.70 is: 13,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.44 : 48,741.88 = 9,121.70 : x
  2. Step 2: Convert to fraction form
    32,493.44/48,741.88 = 9,121.70/x
  3. Step 3: Cross multiply
    32,493.44x = 48,741.88 × 9,121.70
  4. Step 4: Simplify right side
    32,493.44x = 444,608,806.80
  5. Step 5: Solve for x
    x = 444,608,806.80/32,493.44
  6. Step 6: Final answer
    x = 13,683.03

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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.