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Finding the Fourth Proportional to 47,843.35, 66,022.46 and 27,700.56

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Solution

The fourth proportional to 47,843.35, 66,022.46 and 27,700.56 is: 38,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843.35 : 66,022.46 = 27,700.56 : x
  2. Step 2: Convert to fraction form
    47,843.35/66,022.46 = 27,700.56/x
  3. Step 3: Cross multiply
    47,843.35x = 66,022.46 × 27,700.56
  4. Step 4: Simplify right side
    47,843.35x = 1,828,859,079.95
  5. Step 5: Solve for x
    x = 1,828,859,079.95/47,843.35
  6. Step 6: Final answer
    x = 38,225.98

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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.