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Finding the Fourth Proportional to 49,794.08, 68,712.72 and 27,438.08

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Solution

The fourth proportional to 49,794.08, 68,712.72 and 27,438.08 is: 37,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,794.08 : 68,712.72 = 27,438.08 : x
  2. Step 2: Convert to fraction form
    49,794.08/68,712.72 = 27,438.08/x
  3. Step 3: Cross multiply
    49,794.08x = 68,712.72 × 27,438.08
  4. Step 4: Simplify right side
    49,794.08x = 1,885,345,108.38
  5. Step 5: Solve for x
    x = 1,885,345,108.38/49,794.08
  6. Step 6: Final answer
    x = 37,862.84

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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.