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Finding the Fourth Proportional to 47,697.36, 65,819.25 and 29,791.32

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Solution

The fourth proportional to 47,697.36, 65,819.25 and 29,791.32 is: 41,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.36 : 65,819.25 = 29,791.32 : x
  2. Step 2: Convert to fraction form
    47,697.36/65,819.25 = 29,791.32/x
  3. Step 3: Cross multiply
    47,697.36x = 65,819.25 × 29,791.32
  4. Step 4: Simplify right side
    47,697.36x = 1,960,842,338.91
  5. Step 5: Solve for x
    x = 1,960,842,338.91/47,697.36
  6. Step 6: Final answer
    x = 41,110.08

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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.