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Finding the Fourth Proportional to 50,882.30, 76,339.62 and 22,826.48

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Solution

The fourth proportional to 50,882.30, 76,339.62 and 22,826.48 is: 34,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.30 : 76,339.62 = 22,826.48 : x
  2. Step 2: Convert to fraction form
    50,882.30/76,339.62 = 22,826.48/x
  3. Step 3: Cross multiply
    50,882.30x = 76,339.62 × 22,826.48
  4. Step 4: Simplify right side
    50,882.30x = 1,742,564,809.14
  5. Step 5: Solve for x
    x = 1,742,564,809.14/50,882.30
  6. Step 6: Final answer
    x = 34,246.97

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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.