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Finding the Fourth Proportional to 56,696.96, 78,238.10 and 31,198.37

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Solution

The fourth proportional to 56,696.96, 78,238.10 and 31,198.37 is: 43,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,696.96 : 78,238.10 = 31,198.37 : x
  2. Step 2: Convert to fraction form
    56,696.96/78,238.10 = 31,198.37/x
  3. Step 3: Cross multiply
    56,696.96x = 78,238.10 × 31,198.37
  4. Step 4: Simplify right side
    56,696.96x = 2,440,900,878.70
  5. Step 5: Solve for x
    x = 2,440,900,878.70/56,696.96
  6. Step 6: Final answer
    x = 43,051.70

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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.