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Finding the Fourth Proportional to 34,333, 47,382.38 and 19,229.14

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Solution

The fourth proportional to 34,333, 47,382.38 and 19,229.14 is: 26,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,333 : 47,382.38 = 19,229.14 : x
  2. Step 2: Convert to fraction form
    34,333/47,382.38 = 19,229.14/x
  3. Step 3: Cross multiply
    34,333x = 47,382.38 × 19,229.14
  4. Step 4: Simplify right side
    34,333x = 911,122,418.55
  5. Step 5: Solve for x
    x = 911,122,418.55/34,333
  6. Step 6: Final answer
    x = 26,537.80

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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.