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Finding the Fourth Proportional to 71,935.44, 107,830.41 and 29,757.24

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Solution

The fourth proportional to 71,935.44, 107,830.41 and 29,757.24 is: 44,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,935.44 : 107,830.41 = 29,757.24 : x
  2. Step 2: Convert to fraction form
    71,935.44/107,830.41 = 29,757.24/x
  3. Step 3: Cross multiply
    71,935.44x = 107,830.41 × 29,757.24
  4. Step 4: Simplify right side
    71,935.44x = 3,208,735,389.67
  5. Step 5: Solve for x
    x = 3,208,735,389.67/71,935.44
  6. Step 6: Final answer
    x = 44,605.77

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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.