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Finding the Fourth Proportional to 57,219.50, 78,967.56 and 31,728.40

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Solution

The fourth proportional to 57,219.50, 78,967.56 and 31,728.40 is: 43,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,219.50 : 78,967.56 = 31,728.40 : x
  2. Step 2: Convert to fraction form
    57,219.50/78,967.56 = 31,728.40/x
  3. Step 3: Cross multiply
    57,219.50x = 78,967.56 × 31,728.40
  4. Step 4: Simplify right side
    57,219.50x = 2,505,514,330.70
  5. Step 5: Solve for x
    x = 2,505,514,330.70/57,219.50
  6. Step 6: Final answer
    x = 43,787.77

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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.