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Finding the Fourth Proportional to 48,786.16, 67,327.68 and 27,567.28

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Solution

The fourth proportional to 48,786.16, 67,327.68 and 27,567.28 is: 38,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,786.16 : 67,327.68 = 27,567.28 : x
  2. Step 2: Convert to fraction form
    48,786.16/67,327.68 = 27,567.28/x
  3. Step 3: Cross multiply
    48,786.16x = 67,327.68 × 27,567.28
  4. Step 4: Simplify right side
    48,786.16x = 1,856,041,006.31
  5. Step 5: Solve for x
    x = 1,856,041,006.31/48,786.16
  6. Step 6: Final answer
    x = 38,044.42

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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.