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Finding the Fourth Proportional to 75,283.87, 103,891.73 and 41,749.87

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Solution

The fourth proportional to 75,283.87, 103,891.73 and 41,749.87 is: 57,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,283.87 : 103,891.73 = 41,749.87 : x
  2. Step 2: Convert to fraction form
    75,283.87/103,891.73 = 41,749.87/x
  3. Step 3: Cross multiply
    75,283.87x = 103,891.73 × 41,749.87
  4. Step 4: Simplify right side
    75,283.87x = 4,337,466,325.95
  5. Step 5: Solve for x
    x = 4,337,466,325.95/75,283.87
  6. Step 6: Final answer
    x = 57,614.82

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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.