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Finding the Fourth Proportional to 103,957.40, 155,912.25 and 29,082.82

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Solution

The fourth proportional to 103,957.40, 155,912.25 and 29,082.82 is: 43,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,957.40 : 155,912.25 = 29,082.82 : x
  2. Step 2: Convert to fraction form
    103,957.40/155,912.25 = 29,082.82/x
  3. Step 3: Cross multiply
    103,957.40x = 155,912.25 × 29,082.82
  4. Step 4: Simplify right side
    103,957.40x = 4,534,367,757.13
  5. Step 5: Solve for x
    x = 4,534,367,757.13/103,957.40
  6. Step 6: Final answer
    x = 43,617.56

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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.