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Finding the Fourth Proportional to 77,465.87, 116,247.96 and 33,092.95

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Solution

The fourth proportional to 77,465.87, 116,247.96 and 33,092.95 is: 49,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465.87 : 116,247.96 = 33,092.95 : x
  2. Step 2: Convert to fraction form
    77,465.87/116,247.96 = 33,092.95/x
  3. Step 3: Cross multiply
    77,465.87x = 116,247.96 × 33,092.95
  4. Step 4: Simplify right side
    77,465.87x = 3,846,987,637.26
  5. Step 5: Solve for x
    x = 3,846,987,637.26/77,465.87
  6. Step 6: Final answer
    x = 49,660.42

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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.