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Finding the Fourth Proportional to 48,816.46, 67,369.62 and 27,597.70

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Solution

The fourth proportional to 48,816.46, 67,369.62 and 27,597.70 is: 38,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816.46 : 67,369.62 = 27,597.70 : x
  2. Step 2: Convert to fraction form
    48,816.46/67,369.62 = 27,597.70/x
  3. Step 3: Cross multiply
    48,816.46x = 67,369.62 × 27,597.70
  4. Step 4: Simplify right side
    48,816.46x = 1,859,246,561.87
  5. Step 5: Solve for x
    x = 1,859,246,561.87/48,816.46
  6. Step 6: Final answer
    x = 38,086.47

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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.