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Finding the Fourth Proportional to 57,204, 78,945.84 and 32,055.12

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Solution

The fourth proportional to 57,204, 78,945.84 and 32,055.12 is: 44,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204 : 78,945.84 = 32,055.12 : x
  2. Step 2: Convert to fraction form
    57,204/78,945.84 = 32,055.12/x
  3. Step 3: Cross multiply
    57,204x = 78,945.84 × 32,055.12
  4. Step 4: Simplify right side
    57,204x = 2,530,618,374.70
  5. Step 5: Solve for x
    x = 2,530,618,374.70/57,204
  6. Step 6: Final answer
    x = 44,238.49

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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.