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Finding the Fourth Proportional to 59,697.75, 82,355.31 and 35,782.89

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Solution

The fourth proportional to 59,697.75, 82,355.31 and 35,782.89 is: 49,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,697.75 : 82,355.31 = 35,782.89 : x
  2. Step 2: Convert to fraction form
    59,697.75/82,355.31 = 35,782.89/x
  3. Step 3: Cross multiply
    59,697.75x = 82,355.31 × 35,782.89
  4. Step 4: Simplify right side
    59,697.75x = 2,946,910,998.65
  5. Step 5: Solve for x
    x = 2,946,910,998.65/59,697.75
  6. Step 6: Final answer
    x = 49,363.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.