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Finding the Fourth Proportional to 49,077.91, 67,731.02 and 27,858.54

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Solution

The fourth proportional to 49,077.91, 67,731.02 and 27,858.54 is: 38,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,077.91 : 67,731.02 = 27,858.54 : x
  2. Step 2: Convert to fraction form
    49,077.91/67,731.02 = 27,858.54/x
  3. Step 3: Cross multiply
    49,077.91x = 67,731.02 × 27,858.54
  4. Step 4: Simplify right side
    49,077.91x = 1,886,887,329.91
  5. Step 5: Solve for x
    x = 1,886,887,329.91/49,077.91
  6. Step 6: Final answer
    x = 38,446.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.