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Finding the Fourth Proportional to 34,654.38, 47,823.54 and 21,220.73

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Solution

The fourth proportional to 34,654.38, 47,823.54 and 21,220.73 is: 29,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.38 : 47,823.54 = 21,220.73 : x
  2. Step 2: Convert to fraction form
    34,654.38/47,823.54 = 21,220.73/x
  3. Step 3: Cross multiply
    34,654.38x = 47,823.54 × 21,220.73
  4. Step 4: Simplify right side
    34,654.38x = 1,014,850,619.32
  5. Step 5: Solve for x
    x = 1,014,850,619.32/34,654.38
  6. Step 6: Final answer
    x = 29,284.91

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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.