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Finding the Fourth Proportional to 77,491.82, 116,257.24 and 22,087.82

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Solution

The fourth proportional to 77,491.82, 116,257.24 and 22,087.82 is: 33,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.82 : 116,257.24 = 22,087.82 : x
  2. Step 2: Convert to fraction form
    77,491.82/116,257.24 = 22,087.82/x
  3. Step 3: Cross multiply
    77,491.82x = 116,257.24 × 22,087.82
  4. Step 4: Simplify right side
    77,491.82x = 2,567,868,990.82
  5. Step 5: Solve for x
    x = 2,567,868,990.82/77,491.82
  6. Step 6: Final answer
    x = 33,137.29

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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.