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Finding the Fourth Proportional to 47,199.64, 65,133.02 and 25,974.80

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Solution

The fourth proportional to 47,199.64, 65,133.02 and 25,974.80 is: 35,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,199.64 : 65,133.02 = 25,974.80 : x
  2. Step 2: Convert to fraction form
    47,199.64/65,133.02 = 25,974.80/x
  3. Step 3: Cross multiply
    47,199.64x = 65,133.02 × 25,974.80
  4. Step 4: Simplify right side
    47,199.64x = 1,691,817,167.90
  5. Step 5: Solve for x
    x = 1,691,817,167.90/47,199.64
  6. Step 6: Final answer
    x = 35,843.86

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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.