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Finding the Fourth Proportional to 50,489.86, 69,679.05 and 27,828.82

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Solution

The fourth proportional to 50,489.86, 69,679.05 and 27,828.82 is: 38,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489.86 : 69,679.05 = 27,828.82 : x
  2. Step 2: Convert to fraction form
    50,489.86/69,679.05 = 27,828.82/x
  3. Step 3: Cross multiply
    50,489.86x = 69,679.05 × 27,828.82
  4. Step 4: Simplify right side
    50,489.86x = 1,939,085,740.22
  5. Step 5: Solve for x
    x = 1,939,085,740.22/50,489.86
  6. Step 6: Final answer
    x = 38,405.45

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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.