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Finding the Fourth Proportional to 52,834.84, 72,912.90 and 31,615

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Solution

The fourth proportional to 52,834.84, 72,912.90 and 31,615 is: 43,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,834.84 : 72,912.90 = 31,615 : x
  2. Step 2: Convert to fraction form
    52,834.84/72,912.90 = 31,615/x
  3. Step 3: Cross multiply
    52,834.84x = 72,912.90 × 31,615
  4. Step 4: Simplify right side
    52,834.84x = 2,305,141,333.50
  5. Step 5: Solve for x
    x = 2,305,141,333.50/52,834.84
  6. Step 6: Final answer
    x = 43,629.19

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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.