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Finding the Fourth Proportional to 57,920.21, 80,082.38 and 50,729.49

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Solution

The fourth proportional to 57,920.21, 80,082.38 and 50,729.49 is: 70,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,920.21 : 80,082.38 = 50,729.49 : x
  2. Step 2: Convert to fraction form
    57,920.21/80,082.38 = 50,729.49/x
  3. Step 3: Cross multiply
    57,920.21x = 80,082.38 × 50,729.49
  4. Step 4: Simplify right side
    57,920.21x = 4,062,538,041.74
  5. Step 5: Solve for x
    x = 4,062,538,041.74/57,920.21
  6. Step 6: Final answer
    x = 70,140.26

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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.