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Finding the Fourth Proportional to 48,768.82, 67,306.44 and 27,549.45

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Solution

The fourth proportional to 48,768.82, 67,306.44 and 27,549.45 is: 38,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768.82 : 67,306.44 = 27,549.45 : x
  2. Step 2: Convert to fraction form
    48,768.82/67,306.44 = 27,549.45/x
  3. Step 3: Cross multiply
    48,768.82x = 67,306.44 × 27,549.45
  4. Step 4: Simplify right side
    48,768.82x = 1,854,255,403.46
  5. Step 5: Solve for x
    x = 1,854,255,403.46/48,768.82
  6. Step 6: Final answer
    x = 38,021.33

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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.