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Finding the Fourth Proportional to 57,134.25, 78,845.27 and 31,984.29

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Solution

The fourth proportional to 57,134.25, 78,845.27 and 31,984.29 is: 44,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,134.25 : 78,845.27 = 31,984.29 : x
  2. Step 2: Convert to fraction form
    57,134.25/78,845.27 = 31,984.29/x
  3. Step 3: Cross multiply
    57,134.25x = 78,845.27 × 31,984.29
  4. Step 4: Simplify right side
    57,134.25x = 2,521,809,820.89
  5. Step 5: Solve for x
    x = 2,521,809,820.89/57,134.25
  6. Step 6: Final answer
    x = 44,138.32

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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.