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Finding the Fourth Proportional to 57,018, 78,687.27 and 31,867.50

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Solution

The fourth proportional to 57,018, 78,687.27 and 31,867.50 is: 43,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,018 : 78,687.27 = 31,867.50 : x
  2. Step 2: Convert to fraction form
    57,018/78,687.27 = 31,867.50/x
  3. Step 3: Cross multiply
    57,018x = 78,687.27 × 31,867.50
  4. Step 4: Simplify right side
    57,018x = 2,507,566,576.73
  5. Step 5: Solve for x
    x = 2,507,566,576.73/57,018
  6. Step 6: Final answer
    x = 43,978.51

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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.