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Finding the Fourth Proportional to 75,906.76, 113,918.22 and 34,382.92

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Solution

The fourth proportional to 75,906.76, 113,918.22 and 34,382.92 is: 51,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906.76 : 113,918.22 = 34,382.92 : x
  2. Step 2: Convert to fraction form
    75,906.76/113,918.22 = 34,382.92/x
  3. Step 3: Cross multiply
    75,906.76x = 113,918.22 × 34,382.92
  4. Step 4: Simplify right side
    75,906.76x = 3,916,841,044.80
  5. Step 5: Solve for x
    x = 3,916,841,044.80/75,906.76
  6. Step 6: Final answer
    x = 51,600.69

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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.