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Finding the Fourth Proportional to 48,784.14, 67,321.62 and 27,563.22

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Solution

The fourth proportional to 48,784.14, 67,321.62 and 27,563.22 is: 38,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.14 : 67,321.62 = 27,563.22 : x
  2. Step 2: Convert to fraction form
    48,784.14/67,321.62 = 27,563.22/x
  3. Step 3: Cross multiply
    48,784.14x = 67,321.62 × 27,563.22
  4. Step 4: Simplify right side
    48,784.14x = 1,855,600,622.82
  5. Step 5: Solve for x
    x = 1,855,600,622.82/48,784.14
  6. Step 6: Final answer
    x = 38,036.96

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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.