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Finding the Fourth Proportional to 77,789.82, 116,658.74 and 30,392.62

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Solution

The fourth proportional to 77,789.82, 116,658.74 and 30,392.62 is: 45,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,789.82 : 116,658.74 = 30,392.62 : x
  2. Step 2: Convert to fraction form
    77,789.82/116,658.74 = 30,392.62/x
  3. Step 3: Cross multiply
    77,789.82x = 116,658.74 × 30,392.62
  4. Step 4: Simplify right side
    77,789.82x = 3,545,564,754.50
  5. Step 5: Solve for x
    x = 3,545,564,754.50/77,789.82
  6. Step 6: Final answer
    x = 45,578.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.