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Finding the Fourth Proportional to 69,082.98, 103,593.50 and 31,655.32

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Solution

The fourth proportional to 69,082.98, 103,593.50 and 31,655.32 is: 47,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,082.98 : 103,593.50 = 31,655.32 : x
  2. Step 2: Convert to fraction form
    69,082.98/103,593.50 = 31,655.32/x
  3. Step 3: Cross multiply
    69,082.98x = 103,593.50 × 31,655.32
  4. Step 4: Simplify right side
    69,082.98x = 3,279,285,392.42
  5. Step 5: Solve for x
    x = 3,279,285,392.42/69,082.98
  6. Step 6: Final answer
    x = 47,468.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.