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Finding the Fourth Proportional to 77,858.92, 116,735.10 and 27,937.90

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Solution

The fourth proportional to 77,858.92, 116,735.10 and 27,937.90 is: 41,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.92 : 116,735.10 = 27,937.90 : x
  2. Step 2: Convert to fraction form
    77,858.92/116,735.10 = 27,937.90/x
  3. Step 3: Cross multiply
    77,858.92x = 116,735.10 × 27,937.90
  4. Step 4: Simplify right side
    77,858.92x = 3,261,333,550.29
  5. Step 5: Solve for x
    x = 3,261,333,550.29/77,858.92
  6. Step 6: Final answer
    x = 41,887.73

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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.