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Finding the Fourth Proportional to 47,754.70, 65,874.03 and 29,818.56

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Solution

The fourth proportional to 47,754.70, 65,874.03 and 29,818.56 is: 41,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.70 : 65,874.03 = 29,818.56 : x
  2. Step 2: Convert to fraction form
    47,754.70/65,874.03 = 29,818.56/x
  3. Step 3: Cross multiply
    47,754.70x = 65,874.03 × 29,818.56
  4. Step 4: Simplify right side
    47,754.70x = 1,964,268,716.00
  5. Step 5: Solve for x
    x = 1,964,268,716.00/47,754.70
  6. Step 6: Final answer
    x = 41,132.47

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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.