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Finding the Fourth Proportional to 51,469.83, 77,141.16 and 30,388.50

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Solution

The fourth proportional to 51,469.83, 77,141.16 and 30,388.50 is: 45,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469.83 : 77,141.16 = 30,388.50 : x
  2. Step 2: Convert to fraction form
    51,469.83/77,141.16 = 30,388.50/x
  3. Step 3: Cross multiply
    51,469.83x = 77,141.16 × 30,388.50
  4. Step 4: Simplify right side
    51,469.83x = 2,344,204,140.66
  5. Step 5: Solve for x
    x = 2,344,204,140.66/51,469.83
  6. Step 6: Final answer
    x = 45,545.21

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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.