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Finding the Fourth Proportional to 32,406, 48,627.90 and 13,684.92

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Solution

The fourth proportional to 32,406, 48,627.90 and 13,684.92 is: 20,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406 : 48,627.90 = 13,684.92 : x
  2. Step 2: Convert to fraction form
    32,406/48,627.90 = 13,684.92/x
  3. Step 3: Cross multiply
    32,406x = 48,627.90 × 13,684.92
  4. Step 4: Simplify right side
    32,406x = 665,468,921.27
  5. Step 5: Solve for x
    x = 665,468,921.27/32,406
  6. Step 6: Final answer
    x = 20,535.36

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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.