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Finding the Fourth Proportional to 75,758.49, 104,503.37 and 47,414.97

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Solution

The fourth proportional to 75,758.49, 104,503.37 and 47,414.97 is: 65,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,758.49 : 104,503.37 = 47,414.97 : x
  2. Step 2: Convert to fraction form
    75,758.49/104,503.37 = 47,414.97/x
  3. Step 3: Cross multiply
    75,758.49x = 104,503.37 × 47,414.97
  4. Step 4: Simplify right side
    75,758.49x = 4,955,023,916.37
  5. Step 5: Solve for x
    x = 4,955,023,916.37/75,758.49
  6. Step 6: Final answer
    x = 65,405.53

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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.