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Finding the Fourth Proportional to 57,034.14, 78,707.34 and 31,883.64

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Solution

The fourth proportional to 57,034.14, 78,707.34 and 31,883.64 is: 43,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034.14 : 78,707.34 = 31,883.64 : x
  2. Step 2: Convert to fraction form
    57,034.14/78,707.34 = 31,883.64/x
  3. Step 3: Cross multiply
    57,034.14x = 78,707.34 × 31,883.64
  4. Step 4: Simplify right side
    57,034.14x = 2,509,476,493.92
  5. Step 5: Solve for x
    x = 2,509,476,493.92/57,034.14
  6. Step 6: Final answer
    x = 43,999.55

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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.