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Finding the Fourth Proportional to 50,033.52, 69,045.72 and 27,372.96

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Solution

The fourth proportional to 50,033.52, 69,045.72 and 27,372.96 is: 37,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,033.52 : 69,045.72 = 27,372.96 : x
  2. Step 2: Convert to fraction form
    50,033.52/69,045.72 = 27,372.96/x
  3. Step 3: Cross multiply
    50,033.52x = 69,045.72 × 27,372.96
  4. Step 4: Simplify right side
    50,033.52x = 1,889,985,731.73
  5. Step 5: Solve for x
    x = 1,889,985,731.73/50,033.52
  6. Step 6: Final answer
    x = 37,774.39

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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.