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Finding the Fourth Proportional to 119,324.48, 179,022.24 and 49,208

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Solution

The fourth proportional to 119,324.48, 179,022.24 and 49,208 is: 73,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,324.48 : 179,022.24 = 49,208 : x
  2. Step 2: Convert to fraction form
    119,324.48/179,022.24 = 49,208/x
  3. Step 3: Cross multiply
    119,324.48x = 179,022.24 × 49,208
  4. Step 4: Simplify right side
    119,324.48x = 8,809,326,385.92
  5. Step 5: Solve for x
    x = 8,809,326,385.92/119,324.48
  6. Step 6: Final answer
    x = 73,826.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.