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Finding the Fourth Proportional to 48,968.88, 67,578.48 and 27,747.42

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Solution

The fourth proportional to 48,968.88, 67,578.48 and 27,747.42 is: 38,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,968.88 : 67,578.48 = 27,747.42 : x
  2. Step 2: Convert to fraction form
    48,968.88/67,578.48 = 27,747.42/x
  3. Step 3: Cross multiply
    48,968.88x = 67,578.48 × 27,747.42
  4. Step 4: Simplify right side
    48,968.88x = 1,875,128,467.52
  5. Step 5: Solve for x
    x = 1,875,128,467.52/48,968.88
  6. Step 6: Final answer
    x = 38,292.25

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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.