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Finding the Fourth Proportional to 57,019, 78,687.90 and 31,868.56

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Solution

The fourth proportional to 57,019, 78,687.90 and 31,868.56 is: 43,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019 : 78,687.90 = 31,868.56 : x
  2. Step 2: Convert to fraction form
    57,019/78,687.90 = 31,868.56/x
  3. Step 3: Cross multiply
    57,019x = 78,687.90 × 31,868.56
  4. Step 4: Simplify right side
    57,019x = 2,507,670,062.42
  5. Step 5: Solve for x
    x = 2,507,670,062.42/57,019
  6. Step 6: Final answer
    x = 43,979.55

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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.