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Finding the Fourth Proportional to 34,201.89, 47,196.18 and 20,052

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Solution

The fourth proportional to 34,201.89, 47,196.18 and 20,052 is: 27,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.89 : 47,196.18 = 20,052 : x
  2. Step 2: Convert to fraction form
    34,201.89/47,196.18 = 20,052/x
  3. Step 3: Cross multiply
    34,201.89x = 47,196.18 × 20,052
  4. Step 4: Simplify right side
    34,201.89x = 946,377,801.36
  5. Step 5: Solve for x
    x = 946,377,801.36/34,201.89
  6. Step 6: Final answer
    x = 27,670.34

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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.