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Finding the Fourth Proportional to 47,844.81, 66,023.04 and 27,700.27

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Solution

The fourth proportional to 47,844.81, 66,023.04 and 27,700.27 is: 38,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,844.81 : 66,023.04 = 27,700.27 : x
  2. Step 2: Convert to fraction form
    47,844.81/66,023.04 = 27,700.27/x
  3. Step 3: Cross multiply
    47,844.81x = 66,023.04 × 27,700.27
  4. Step 4: Simplify right side
    47,844.81x = 1,828,856,034.22
  5. Step 5: Solve for x
    x = 1,828,856,034.22/47,844.81
  6. Step 6: Final answer
    x = 38,224.75

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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.