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Finding the Fourth Proportional to 83,832, 115,619.04 and 50,274.24

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Solution

The fourth proportional to 83,832, 115,619.04 and 50,274.24 is: 69,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,832 : 115,619.04 = 50,274.24 : x
  2. Step 2: Convert to fraction form
    83,832/115,619.04 = 50,274.24/x
  3. Step 3: Cross multiply
    83,832x = 115,619.04 × 50,274.24
  4. Step 4: Simplify right side
    83,832x = 5,812,659,365.53
  5. Step 5: Solve for x
    x = 5,812,659,365.53/83,832
  6. Step 6: Final answer
    x = 69,337.00

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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.