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Finding the Fourth Proportional to 48,816.53, 67,369.71 and 27,597.77

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Solution

The fourth proportional to 48,816.53, 67,369.71 and 27,597.77 is: 38,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816.53 : 67,369.71 = 27,597.77 : x
  2. Step 2: Convert to fraction form
    48,816.53/67,369.71 = 27,597.77/x
  3. Step 3: Cross multiply
    48,816.53x = 67,369.71 × 27,597.77
  4. Step 4: Simplify right side
    48,816.53x = 1,859,253,286.71
  5. Step 5: Solve for x
    x = 1,859,253,286.71/48,816.53
  6. Step 6: Final answer
    x = 38,086.56

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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.