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Finding the Fourth Proportional to 27,524.47, 37,947.62 and 19,861.31

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Solution

The fourth proportional to 27,524.47, 37,947.62 and 19,861.31 is: 27,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.47 : 37,947.62 = 19,861.31 : x
  2. Step 2: Convert to fraction form
    27,524.47/37,947.62 = 19,861.31/x
  3. Step 3: Cross multiply
    27,524.47x = 37,947.62 × 19,861.31
  4. Step 4: Simplify right side
    27,524.47x = 753,689,444.58
  5. Step 5: Solve for x
    x = 753,689,444.58/27,524.47
  6. Step 6: Final answer
    x = 27,382.52

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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.