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Finding the Fourth Proportional to 48,077.45, 66,333.36 and 27,658.44

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Solution

The fourth proportional to 48,077.45, 66,333.36 and 27,658.44 is: 38,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,077.45 : 66,333.36 = 27,658.44 : x
  2. Step 2: Convert to fraction form
    48,077.45/66,333.36 = 27,658.44/x
  3. Step 3: Cross multiply
    48,077.45x = 66,333.36 × 27,658.44
  4. Step 4: Simplify right side
    48,077.45x = 1,834,677,257.56
  5. Step 5: Solve for x
    x = 1,834,677,257.56/48,077.45
  6. Step 6: Final answer
    x = 38,160.87

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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.