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Finding the Fourth Proportional to 47,067.36, 64,953 and 25,847.70

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Solution

The fourth proportional to 47,067.36, 64,953 and 25,847.70 is: 35,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,067.36 : 64,953 = 25,847.70 : x
  2. Step 2: Convert to fraction form
    47,067.36/64,953 = 25,847.70/x
  3. Step 3: Cross multiply
    47,067.36x = 64,953 × 25,847.70
  4. Step 4: Simplify right side
    47,067.36x = 1,678,885,658.10
  5. Step 5: Solve for x
    x = 1,678,885,658.10/47,067.36
  6. Step 6: Final answer
    x = 35,669.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.