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Finding the Fourth Proportional to 69,106.41, 103,593.94 and 27,013.48

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Solution

The fourth proportional to 69,106.41, 103,593.94 and 27,013.48 is: 40,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.41 : 103,593.94 = 27,013.48 : x
  2. Step 2: Convert to fraction form
    69,106.41/103,593.94 = 27,013.48/x
  3. Step 3: Cross multiply
    69,106.41x = 103,593.94 × 27,013.48
  4. Step 4: Simplify right side
    69,106.41x = 2,798,432,499.79
  5. Step 5: Solve for x
    x = 2,798,432,499.79/69,106.41
  6. Step 6: Final answer
    x = 40,494.54

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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.