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Finding the Fourth Proportional to 34,261.38, 47,327.22 and 25,827.66

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Solution

The fourth proportional to 34,261.38, 47,327.22 and 25,827.66 is: 35,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,261.38 : 47,327.22 = 25,827.66 : x
  2. Step 2: Convert to fraction form
    34,261.38/47,327.22 = 25,827.66/x
  3. Step 3: Cross multiply
    34,261.38x = 47,327.22 × 25,827.66
  4. Step 4: Simplify right side
    34,261.38x = 1,222,351,346.91
  5. Step 5: Solve for x
    x = 1,222,351,346.91/34,261.38
  6. Step 6: Final answer
    x = 35,677.24

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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.