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Finding the Fourth Proportional to 49,358.82, 68,115.09 and 27,848.54

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Solution

The fourth proportional to 49,358.82, 68,115.09 and 27,848.54 is: 38,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,358.82 : 68,115.09 = 27,848.54 : x
  2. Step 2: Convert to fraction form
    49,358.82/68,115.09 = 27,848.54/x
  3. Step 3: Cross multiply
    49,358.82x = 68,115.09 × 27,848.54
  4. Step 4: Simplify right side
    49,358.82x = 1,896,905,467.89
  5. Step 5: Solve for x
    x = 1,896,905,467.89/49,358.82
  6. Step 6: Final answer
    x = 38,430.93

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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.