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Finding the Fourth Proportional to 48,119.64, 66,393.90 and 27,964.68

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Solution

The fourth proportional to 48,119.64, 66,393.90 and 27,964.68 is: 38,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,119.64 : 66,393.90 = 27,964.68 : x
  2. Step 2: Convert to fraction form
    48,119.64/66,393.90 = 27,964.68/x
  3. Step 3: Cross multiply
    48,119.64x = 66,393.90 × 27,964.68
  4. Step 4: Simplify right side
    48,119.64x = 1,856,684,167.45
  5. Step 5: Solve for x
    x = 1,856,684,167.45/48,119.64
  6. Step 6: Final answer
    x = 38,584.75

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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.