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Finding the Fourth Proportional to 51,850.64, 71,529 and 33,937.76

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Solution

The fourth proportional to 51,850.64, 71,529 and 33,937.76 is: 46,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,850.64 : 71,529 = 33,937.76 : x
  2. Step 2: Convert to fraction form
    51,850.64/71,529 = 33,937.76/x
  3. Step 3: Cross multiply
    51,850.64x = 71,529 × 33,937.76
  4. Step 4: Simplify right side
    51,850.64x = 2,427,534,035.04
  5. Step 5: Solve for x
    x = 2,427,534,035.04/51,850.64
  6. Step 6: Final answer
    x = 46,817.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.