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Finding the Fourth Proportional to 57,719.24, 79,652.02 and 31,223.24

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Solution

The fourth proportional to 57,719.24, 79,652.02 and 31,223.24 is: 43,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,719.24 : 79,652.02 = 31,223.24 : x
  2. Step 2: Convert to fraction form
    57,719.24/79,652.02 = 31,223.24/x
  3. Step 3: Cross multiply
    57,719.24x = 79,652.02 × 31,223.24
  4. Step 4: Simplify right side
    57,719.24x = 2,486,994,136.94
  5. Step 5: Solve for x
    x = 2,486,994,136.94/57,719.24
  6. Step 6: Final answer
    x = 43,087.78

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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.