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Finding the Fourth Proportional to 48,644.64, 67,128.71 and 27,423.93

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Solution

The fourth proportional to 48,644.64, 67,128.71 and 27,423.93 is: 37,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,644.64 : 67,128.71 = 27,423.93 : x
  2. Step 2: Convert to fraction form
    48,644.64/67,128.71 = 27,423.93/x
  3. Step 3: Cross multiply
    48,644.64x = 67,128.71 × 27,423.93
  4. Step 4: Simplify right side
    48,644.64x = 1,840,932,571.27
  5. Step 5: Solve for x
    x = 1,840,932,571.27/48,644.64
  6. Step 6: Final answer
    x = 37,844.51

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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.