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Finding the Fourth Proportional to 75,879.48, 104,719.48 and 41,894.52

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Solution

The fourth proportional to 75,879.48, 104,719.48 and 41,894.52 is: 57,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.48 : 104,719.48 = 41,894.52 : x
  2. Step 2: Convert to fraction form
    75,879.48/104,719.48 = 41,894.52/x
  3. Step 3: Cross multiply
    75,879.48x = 104,719.48 × 41,894.52
  4. Step 4: Simplify right side
    75,879.48x = 4,387,172,349.25
  5. Step 5: Solve for x
    x = 4,387,172,349.25/75,879.48
  6. Step 6: Final answer
    x = 57,817.64

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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.