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Finding the Fourth Proportional to 69,093.78, 103,640.69 and 24,717.84

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Solution

The fourth proportional to 69,093.78, 103,640.69 and 24,717.84 is: 37,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,093.78 : 103,640.69 = 24,717.84 : x
  2. Step 2: Convert to fraction form
    69,093.78/103,640.69 = 24,717.84/x
  3. Step 3: Cross multiply
    69,093.78x = 103,640.69 × 24,717.84
  4. Step 4: Simplify right side
    69,093.78x = 2,561,773,992.91
  5. Step 5: Solve for x
    x = 2,561,773,992.91/69,093.78
  6. Step 6: Final answer
    x = 37,076.77

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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.