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Finding the Fourth Proportional to 48,782.46, 67,321.12 and 27,561.26

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Solution

The fourth proportional to 48,782.46, 67,321.12 and 27,561.26 is: 38,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.46 : 67,321.12 = 27,561.26 : x
  2. Step 2: Convert to fraction form
    48,782.46/67,321.12 = 27,561.26/x
  3. Step 3: Cross multiply
    48,782.46x = 67,321.12 × 27,561.26
  4. Step 4: Simplify right side
    48,782.46x = 1,855,454,891.81
  5. Step 5: Solve for x
    x = 1,855,454,891.81/48,782.46
  6. Step 6: Final answer
    x = 38,035.29

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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.