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Finding the Fourth Proportional to 57,224.46, 78,968.34 and 31,730.93

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Solution

The fourth proportional to 57,224.46, 78,968.34 and 31,730.93 is: 43,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224.46 : 78,968.34 = 31,730.93 : x
  2. Step 2: Convert to fraction form
    57,224.46/78,968.34 = 31,730.93/x
  3. Step 3: Cross multiply
    57,224.46x = 78,968.34 × 31,730.93
  4. Step 4: Simplify right side
    57,224.46x = 2,505,738,473.91
  5. Step 5: Solve for x
    x = 2,505,738,473.91/57,224.46
  6. Step 6: Final answer
    x = 43,787.89

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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.