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Finding the Fourth Proportional to 57,229.50, 78,984 and 32,079

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Solution

The fourth proportional to 57,229.50, 78,984 and 32,079 is: 44,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,229.50 : 78,984 = 32,079 : x
  2. Step 2: Convert to fraction form
    57,229.50/78,984 = 32,079/x
  3. Step 3: Cross multiply
    57,229.50x = 78,984 × 32,079
  4. Step 4: Simplify right side
    57,229.50x = 2,533,727,736
  5. Step 5: Solve for x
    x = 2,533,727,736/57,229.50
  6. Step 6: Final answer
    x = 44,273.11

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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.