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Finding the Fourth Proportional to 49,840.38, 68,779.72 and 27,484.38

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Solution

The fourth proportional to 49,840.38, 68,779.72 and 27,484.38 is: 37,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,840.38 : 68,779.72 = 27,484.38 : x
  2. Step 2: Convert to fraction form
    49,840.38/68,779.72 = 27,484.38/x
  3. Step 3: Cross multiply
    49,840.38x = 68,779.72 × 27,484.38
  4. Step 4: Simplify right side
    49,840.38x = 1,890,367,960.77
  5. Step 5: Solve for x
    x = 1,890,367,960.77/49,840.38
  6. Step 6: Final answer
    x = 37,928.44

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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.