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Finding the Fourth Proportional to 82,497.30, 113,826.59 and 50,231.54

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Solution

The fourth proportional to 82,497.30, 113,826.59 and 50,231.54 is: 69,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.30 : 113,826.59 = 50,231.54 : x
  2. Step 2: Convert to fraction form
    82,497.30/113,826.59 = 50,231.54/x
  3. Step 3: Cross multiply
    82,497.30x = 113,826.59 × 50,231.54
  4. Step 4: Simplify right side
    82,497.30x = 5,717,684,908.65
  5. Step 5: Solve for x
    x = 5,717,684,908.65/82,497.30
  6. Step 6: Final answer
    x = 69,307.54

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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.