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Finding the Fourth Proportional to 57,079.87, 78,773.24 and 32,884.56

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Solution

The fourth proportional to 57,079.87, 78,773.24 and 32,884.56 is: 45,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079.87 : 78,773.24 = 32,884.56 : x
  2. Step 2: Convert to fraction form
    57,079.87/78,773.24 = 32,884.56/x
  3. Step 3: Cross multiply
    57,079.87x = 78,773.24 × 32,884.56
  4. Step 4: Simplify right side
    57,079.87x = 2,590,423,419.39
  5. Step 5: Solve for x
    x = 2,590,423,419.39/57,079.87
  6. Step 6: Final answer
    x = 45,382.44

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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.