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Finding the Fourth Proportional to 57,185.83, 78,908.96 and 31,690.97

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Solution

The fourth proportional to 57,185.83, 78,908.96 and 31,690.97 is: 43,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,185.83 : 78,908.96 = 31,690.97 : x
  2. Step 2: Convert to fraction form
    57,185.83/78,908.96 = 31,690.97/x
  3. Step 3: Cross multiply
    57,185.83x = 78,908.96 × 31,690.97
  4. Step 4: Simplify right side
    57,185.83x = 2,500,701,168.77
  5. Step 5: Solve for x
    x = 2,500,701,168.77/57,185.83
  6. Step 6: Final answer
    x = 43,729.39

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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.