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Finding the Fourth Proportional to 32,213.52, 48,318.12 and 8,838

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Solution

The fourth proportional to 32,213.52, 48,318.12 and 8,838 is: 13,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.52 : 48,318.12 = 8,838 : x
  2. Step 2: Convert to fraction form
    32,213.52/48,318.12 = 8,838/x
  3. Step 3: Cross multiply
    32,213.52x = 48,318.12 × 8,838
  4. Step 4: Simplify right side
    32,213.52x = 427,035,544.56
  5. Step 5: Solve for x
    x = 427,035,544.56/32,213.52
  6. Step 6: Final answer
    x = 13,256.41

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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.