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Finding the Fourth Proportional to 77,174.87, 106,517.87 and 46,969.92

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Solution

The fourth proportional to 77,174.87, 106,517.87 and 46,969.92 is: 64,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,174.87 : 106,517.87 = 46,969.92 : x
  2. Step 2: Convert to fraction form
    77,174.87/106,517.87 = 46,969.92/x
  3. Step 3: Cross multiply
    77,174.87x = 106,517.87 × 46,969.92
  4. Step 4: Simplify right side
    77,174.87x = 5,003,135,597.62
  5. Step 5: Solve for x
    x = 5,003,135,597.62/77,174.87
  6. Step 6: Final answer
    x = 64,828.56

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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.