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Finding the Fourth Proportional to 57,229.22, 78,976.04 and 32,078.72

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Solution

The fourth proportional to 57,229.22, 78,976.04 and 32,078.72 is: 44,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,229.22 : 78,976.04 = 32,078.72 : x
  2. Step 2: Convert to fraction form
    57,229.22/78,976.04 = 32,078.72/x
  3. Step 3: Cross multiply
    57,229.22x = 78,976.04 × 32,078.72
  4. Step 4: Simplify right side
    57,229.22x = 2,533,450,273.87
  5. Step 5: Solve for x
    x = 2,533,450,273.87/57,229.22
  6. Step 6: Final answer
    x = 44,268.47

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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.