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Finding the Fourth Proportional to 34,857.21, 48,092.34 and 19,747.47

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Solution

The fourth proportional to 34,857.21, 48,092.34 and 19,747.47 is: 27,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857.21 : 48,092.34 = 19,747.47 : x
  2. Step 2: Convert to fraction form
    34,857.21/48,092.34 = 19,747.47/x
  3. Step 3: Cross multiply
    34,857.21x = 48,092.34 × 19,747.47
  4. Step 4: Simplify right side
    34,857.21x = 949,702,041.38
  5. Step 5: Solve for x
    x = 949,702,041.38/34,857.21
  6. Step 6: Final answer
    x = 27,245.50

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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.