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Finding the Fourth Proportional to 48,972.50, 67,597.42 and 27,765.88

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Solution

The fourth proportional to 48,972.50, 67,597.42 and 27,765.88 is: 38,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,972.50 : 67,597.42 = 27,765.88 : x
  2. Step 2: Convert to fraction form
    48,972.50/67,597.42 = 27,765.88/x
  3. Step 3: Cross multiply
    48,972.50x = 67,597.42 × 27,765.88
  4. Step 4: Simplify right side
    48,972.50x = 1,876,901,852.03
  5. Step 5: Solve for x
    x = 1,876,901,852.03/48,972.50
  6. Step 6: Final answer
    x = 38,325.63

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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.