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Finding the Fourth Proportional to 32,422.50, 48,640.62 and 10,242.24

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Solution

The fourth proportional to 32,422.50, 48,640.62 and 10,242.24 is: 15,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422.50 : 48,640.62 = 10,242.24 : x
  2. Step 2: Convert to fraction form
    32,422.50/48,640.62 = 10,242.24/x
  3. Step 3: Cross multiply
    32,422.50x = 48,640.62 × 10,242.24
  4. Step 4: Simplify right side
    32,422.50x = 498,188,903.79
  5. Step 5: Solve for x
    x = 498,188,903.79/32,422.50
  6. Step 6: Final answer
    x = 15,365.53

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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.