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Finding the Fourth Proportional to 57,218.72, 78,961.77 and 31,725

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Solution

The fourth proportional to 57,218.72, 78,961.77 and 31,725 is: 43,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.72 : 78,961.77 = 31,725 : x
  2. Step 2: Convert to fraction form
    57,218.72/78,961.77 = 31,725/x
  3. Step 3: Cross multiply
    57,218.72x = 78,961.77 × 31,725
  4. Step 4: Simplify right side
    57,218.72x = 2,505,062,153.25
  5. Step 5: Solve for x
    x = 2,505,062,153.25/57,218.72
  6. Step 6: Final answer
    x = 43,780.47

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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.