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Finding the Fourth Proportional to 48,232.56, 66,561.48 and 27,012

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Solution

The fourth proportional to 48,232.56, 66,561.48 and 27,012 is: 37,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,232.56 : 66,561.48 = 27,012 : x
  2. Step 2: Convert to fraction form
    48,232.56/66,561.48 = 27,012/x
  3. Step 3: Cross multiply
    48,232.56x = 66,561.48 × 27,012
  4. Step 4: Simplify right side
    48,232.56x = 1,797,958,697.76
  5. Step 5: Solve for x
    x = 1,797,958,697.76/48,232.56
  6. Step 6: Final answer
    x = 37,276.87

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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.