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Finding the Fourth Proportional to 81,958.29, 122,905.09 and 39,825.89

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Solution

The fourth proportional to 81,958.29, 122,905.09 and 39,825.89 is: 59,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958.29 : 122,905.09 = 39,825.89 : x
  2. Step 2: Convert to fraction form
    81,958.29/122,905.09 = 39,825.89/x
  3. Step 3: Cross multiply
    81,958.29x = 122,905.09 × 39,825.89
  4. Step 4: Simplify right side
    81,958.29x = 4,894,804,594.78
  5. Step 5: Solve for x
    x = 4,894,804,594.78/81,958.29
  6. Step 6: Final answer
    x = 59,723.12

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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.