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Finding the Fourth Proportional to 34,305.31, 47,298.90 and 27,591.22

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Solution

The fourth proportional to 34,305.31, 47,298.90 and 27,591.22 is: 38,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,305.31 : 47,298.90 = 27,591.22 : x
  2. Step 2: Convert to fraction form
    34,305.31/47,298.90 = 27,591.22/x
  3. Step 3: Cross multiply
    34,305.31x = 47,298.90 × 27,591.22
  4. Step 4: Simplify right side
    34,305.31x = 1,305,034,355.66
  5. Step 5: Solve for x
    x = 1,305,034,355.66/34,305.31
  6. Step 6: Final answer
    x = 38,041.76

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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.