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Finding the Fourth Proportional to 57,309.30, 85,891.05 and 27,663.30

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Solution

The fourth proportional to 57,309.30, 85,891.05 and 27,663.30 is: 41,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.30 : 85,891.05 = 27,663.30 : x
  2. Step 2: Convert to fraction form
    57,309.30/85,891.05 = 27,663.30/x
  3. Step 3: Cross multiply
    57,309.30x = 85,891.05 × 27,663.30
  4. Step 4: Simplify right side
    57,309.30x = 2,376,029,883.47
  5. Step 5: Solve for x
    x = 2,376,029,883.47/57,309.30
  6. Step 6: Final answer
    x = 41,459.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.