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Finding the Fourth Proportional to 81,794.48, 112,874.76 and 45,495.14

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Solution

The fourth proportional to 81,794.48, 112,874.76 and 45,495.14 is: 62,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.48 : 112,874.76 = 45,495.14 : x
  2. Step 2: Convert to fraction form
    81,794.48/112,874.76 = 45,495.14/x
  3. Step 3: Cross multiply
    81,794.48x = 112,874.76 × 45,495.14
  4. Step 4: Simplify right side
    81,794.48x = 5,135,253,290.85
  5. Step 5: Solve for x
    x = 5,135,253,290.85/81,794.48
  6. Step 6: Final answer
    x = 62,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.