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Finding the Fourth Proportional to 57,231.36, 78,977.08 and 31,738.77

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Solution

The fourth proportional to 57,231.36, 78,977.08 and 31,738.77 is: 43,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,231.36 : 78,977.08 = 31,738.77 : x
  2. Step 2: Convert to fraction form
    57,231.36/78,977.08 = 31,738.77/x
  3. Step 3: Cross multiply
    57,231.36x = 78,977.08 × 31,738.77
  4. Step 4: Simplify right side
    57,231.36x = 2,506,635,377.39
  5. Step 5: Solve for x
    x = 2,506,635,377.39/57,231.36
  6. Step 6: Final answer
    x = 43,798.28

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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.