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Finding the Fourth Proportional to 75,340, 103,974.06 and 41,806

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Solution

The fourth proportional to 75,340, 103,974.06 and 41,806 is: 57,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340 : 103,974.06 = 41,806 : x
  2. Step 2: Convert to fraction form
    75,340/103,974.06 = 41,806/x
  3. Step 3: Cross multiply
    75,340x = 103,974.06 × 41,806
  4. Step 4: Simplify right side
    75,340x = 4,346,739,552.36
  5. Step 5: Solve for x
    x = 4,346,739,552.36/75,340
  6. Step 6: Final answer
    x = 57,694.98

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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.