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Finding the Fourth Proportional to 32,321.50, 48,469.40 and 13,610.50

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Solution

The fourth proportional to 32,321.50, 48,469.40 and 13,610.50 is: 20,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.50 : 48,469.40 = 13,610.50 : x
  2. Step 2: Convert to fraction form
    32,321.50/48,469.40 = 13,610.50/x
  3. Step 3: Cross multiply
    32,321.50x = 48,469.40 × 13,610.50
  4. Step 4: Simplify right side
    32,321.50x = 659,692,768.70
  5. Step 5: Solve for x
    x = 659,692,768.70/32,321.50
  6. Step 6: Final answer
    x = 20,410.34

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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.