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Finding the Fourth Proportional to 50,494.73, 69,679.54 and 27,832.47

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Solution

The fourth proportional to 50,494.73, 69,679.54 and 27,832.47 is: 38,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.73 : 69,679.54 = 27,832.47 : x
  2. Step 2: Convert to fraction form
    50,494.73/69,679.54 = 27,832.47/x
  3. Step 3: Cross multiply
    50,494.73x = 69,679.54 × 27,832.47
  4. Step 4: Simplify right side
    50,494.73x = 1,939,353,532.34
  5. Step 5: Solve for x
    x = 1,939,353,532.34/50,494.73
  6. Step 6: Final answer
    x = 38,407.05

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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.