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Finding the Fourth Proportional to 57,085.34, 85,614.12 and 23,787.23

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Solution

The fourth proportional to 57,085.34, 85,614.12 and 23,787.23 is: 35,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,085.34 : 85,614.12 = 23,787.23 : x
  2. Step 2: Convert to fraction form
    57,085.34/85,614.12 = 23,787.23/x
  3. Step 3: Cross multiply
    57,085.34x = 85,614.12 × 23,787.23
  4. Step 4: Simplify right side
    57,085.34x = 2,036,522,335.62
  5. Step 5: Solve for x
    x = 2,036,522,335.62/57,085.34
  6. Step 6: Final answer
    x = 35,675.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.