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Finding the Fourth Proportional to 57,739.44, 79,657.92 and 33,857.28

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Solution

The fourth proportional to 57,739.44, 79,657.92 and 33,857.28 is: 46,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,739.44 : 79,657.92 = 33,857.28 : x
  2. Step 2: Convert to fraction form
    57,739.44/79,657.92 = 33,857.28/x
  3. Step 3: Cross multiply
    57,739.44x = 79,657.92 × 33,857.28
  4. Step 4: Simplify right side
    57,739.44x = 2,697,000,501.66
  5. Step 5: Solve for x
    x = 2,697,000,501.66/57,739.44
  6. Step 6: Final answer
    x = 46,709.85

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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.