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Finding the Fourth Proportional to 75,773.69, 113,660.54 and 75,664.34

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Solution

The fourth proportional to 75,773.69, 113,660.54 and 75,664.34 is: 113,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,773.69 : 113,660.54 = 75,664.34 : x
  2. Step 2: Convert to fraction form
    75,773.69/113,660.54 = 75,664.34/x
  3. Step 3: Cross multiply
    75,773.69x = 113,660.54 × 75,664.34
  4. Step 4: Simplify right side
    75,773.69x = 8,600,049,743.14
  5. Step 5: Solve for x
    x = 8,600,049,743.14/75,773.69
  6. Step 6: Final answer
    x = 113,496.51

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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.