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Finding the Fourth Proportional to 50,411.91, 69,566.05 and 27,750.44

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Solution

The fourth proportional to 50,411.91, 69,566.05 and 27,750.44 is: 38,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,411.91 : 69,566.05 = 27,750.44 : x
  2. Step 2: Convert to fraction form
    50,411.91/69,566.05 = 27,750.44/x
  3. Step 3: Cross multiply
    50,411.91x = 69,566.05 × 27,750.44
  4. Step 4: Simplify right side
    50,411.91x = 1,930,488,009.98
  5. Step 5: Solve for x
    x = 1,930,488,009.98/50,411.91
  6. Step 6: Final answer
    x = 38,294.28

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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.