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Finding the Fourth Proportional to 75,967.97, 104,868.83 and 52,217.15

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Solution

The fourth proportional to 75,967.97, 104,868.83 and 52,217.15 is: 72,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967.97 : 104,868.83 = 52,217.15 : x
  2. Step 2: Convert to fraction form
    75,967.97/104,868.83 = 52,217.15/x
  3. Step 3: Cross multiply
    75,967.97x = 104,868.83 × 52,217.15
  4. Step 4: Simplify right side
    75,967.97x = 5,475,951,032.63
  5. Step 5: Solve for x
    x = 5,475,951,032.63/75,967.97
  6. Step 6: Final answer
    x = 72,082.37

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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.