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Finding the Fourth Proportional to 76,523.67, 114,797.34 and 39,063.42

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Solution

The fourth proportional to 76,523.67, 114,797.34 and 39,063.42 is: 58,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,523.67 : 114,797.34 = 39,063.42 : x
  2. Step 2: Convert to fraction form
    76,523.67/114,797.34 = 39,063.42/x
  3. Step 3: Cross multiply
    76,523.67x = 114,797.34 × 39,063.42
  4. Step 4: Simplify right side
    76,523.67x = 4,484,376,707.30
  5. Step 5: Solve for x
    x = 4,484,376,707.30/76,523.67
  6. Step 6: Final answer
    x = 58,601.17

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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.