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Finding the Fourth Proportional to 50,400, 69,552 and 28,045.44

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Solution

The fourth proportional to 50,400, 69,552 and 28,045.44 is: 38,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,400 : 69,552 = 28,045.44 : x
  2. Step 2: Convert to fraction form
    50,400/69,552 = 28,045.44/x
  3. Step 3: Cross multiply
    50,400x = 69,552 × 28,045.44
  4. Step 4: Simplify right side
    50,400x = 1,950,616,442.88
  5. Step 5: Solve for x
    x = 1,950,616,442.88/50,400
  6. Step 6: Final answer
    x = 38,702.71

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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.