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Finding the Fourth Proportional to 32,405.33, 48,617.42 and 13,675.50

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Solution

The fourth proportional to 32,405.33, 48,617.42 and 13,675.50 is: 20,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.33 : 48,617.42 = 13,675.50 : x
  2. Step 2: Convert to fraction form
    32,405.33/48,617.42 = 13,675.50/x
  3. Step 3: Cross multiply
    32,405.33x = 48,617.42 × 13,675.50
  4. Step 4: Simplify right side
    32,405.33x = 664,867,458.83
  5. Step 5: Solve for x
    x = 664,867,458.83/32,405.33
  6. Step 6: Final answer
    x = 20,517.22

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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.