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Finding the Fourth Proportional to 48,782.41, 67,321.04 and 27,561.22

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Solution

The fourth proportional to 48,782.41, 67,321.04 and 27,561.22 is: 38,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.41 : 67,321.04 = 27,561.22 : x
  2. Step 2: Convert to fraction form
    48,782.41/67,321.04 = 27,561.22/x
  3. Step 3: Cross multiply
    48,782.41x = 67,321.04 × 27,561.22
  4. Step 4: Simplify right side
    48,782.41x = 1,855,449,687.96
  5. Step 5: Solve for x
    x = 1,855,449,687.96/48,782.41
  6. Step 6: Final answer
    x = 38,035.22

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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.