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Finding the Fourth Proportional to 57,415.76, 79,236.38 and 31,924.71

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Solution

The fourth proportional to 57,415.76, 79,236.38 and 31,924.71 is: 44,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,415.76 : 79,236.38 = 31,924.71 : x
  2. Step 2: Convert to fraction form
    57,415.76/79,236.38 = 31,924.71/x
  3. Step 3: Cross multiply
    57,415.76x = 79,236.38 × 31,924.71
  4. Step 4: Simplify right side
    57,415.76x = 2,529,598,293.33
  5. Step 5: Solve for x
    x = 2,529,598,293.33/57,415.76
  6. Step 6: Final answer
    x = 44,057.56

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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.