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Finding the Fourth Proportional to 50,947.60, 76,310.60 and 31,166.32

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Solution

The fourth proportional to 50,947.60, 76,310.60 and 31,166.32 is: 46,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,947.60 : 76,310.60 = 31,166.32 : x
  2. Step 2: Convert to fraction form
    50,947.60/76,310.60 = 31,166.32/x
  3. Step 3: Cross multiply
    50,947.60x = 76,310.60 × 31,166.32
  4. Step 4: Simplify right side
    50,947.60x = 2,378,320,578.99
  5. Step 5: Solve for x
    x = 2,378,320,578.99/50,947.60
  6. Step 6: Final answer
    x = 46,681.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.