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Finding the Fourth Proportional to 48,544.70, 72,827.44 and 27,494.70

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Solution

The fourth proportional to 48,544.70, 72,827.44 and 27,494.70 is: 41,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,544.70 : 72,827.44 = 27,494.70 : x
  2. Step 2: Convert to fraction form
    48,544.70/72,827.44 = 27,494.70/x
  3. Step 3: Cross multiply
    48,544.70x = 72,827.44 × 27,494.70
  4. Step 4: Simplify right side
    48,544.70x = 2,002,368,614.57
  5. Step 5: Solve for x
    x = 2,002,368,614.57/48,544.70
  6. Step 6: Final answer
    x = 41,247.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.