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Finding the Fourth Proportional to 43,524, 60,063.50 and 23,652

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Solution

The fourth proportional to 43,524, 60,063.50 and 23,652 is: 32,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,524 : 60,063.50 = 23,652 : x
  2. Step 2: Convert to fraction form
    43,524/60,063.50 = 23,652/x
  3. Step 3: Cross multiply
    43,524x = 60,063.50 × 23,652
  4. Step 4: Simplify right side
    43,524x = 1,420,621,902
  5. Step 5: Solve for x
    x = 1,420,621,902/43,524
  6. Step 6: Final answer
    x = 32,639.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.