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Finding the Fourth Proportional to 69,398.90, 104,082.77 and 31,922.98

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Solution

The fourth proportional to 69,398.90, 104,082.77 and 31,922.98 is: 47,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,398.90 : 104,082.77 = 31,922.98 : x
  2. Step 2: Convert to fraction form
    69,398.90/104,082.77 = 31,922.98/x
  3. Step 3: Cross multiply
    69,398.90x = 104,082.77 × 31,922.98
  4. Step 4: Simplify right side
    69,398.90x = 3,322,632,185.05
  5. Step 5: Solve for x
    x = 3,322,632,185.05/69,398.90
  6. Step 6: Final answer
    x = 47,877.30

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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.