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Finding the Fourth Proportional to 77,866.92, 116,780.94 and 25,291.44

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Solution

The fourth proportional to 77,866.92, 116,780.94 and 25,291.44 is: 37,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.92 : 116,780.94 = 25,291.44 : x
  2. Step 2: Convert to fraction form
    77,866.92/116,780.94 = 25,291.44/x
  3. Step 3: Cross multiply
    77,866.92x = 116,780.94 × 25,291.44
  4. Step 4: Simplify right side
    77,866.92x = 2,953,558,137.15
  5. Step 5: Solve for x
    x = 2,953,558,137.15/77,866.92
  6. Step 6: Final answer
    x = 37,930.85

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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.