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Finding the Fourth Proportional to 32,428.85, 48,662.03 and 13,707.68

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Solution

The fourth proportional to 32,428.85, 48,662.03 and 13,707.68 is: 20,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.85 : 48,662.03 = 13,707.68 : x
  2. Step 2: Convert to fraction form
    32,428.85/48,662.03 = 13,707.68/x
  3. Step 3: Cross multiply
    32,428.85x = 48,662.03 × 13,707.68
  4. Step 4: Simplify right side
    32,428.85x = 667,043,223.54
  5. Step 5: Solve for x
    x = 667,043,223.54/32,428.85
  6. Step 6: Final answer
    x = 20,569.44

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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.