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Finding the Fourth Proportional to 57,014.50, 78,682.44 and 31,864

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Solution

The fourth proportional to 57,014.50, 78,682.44 and 31,864 is: 43,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014.50 : 78,682.44 = 31,864 : x
  2. Step 2: Convert to fraction form
    57,014.50/78,682.44 = 31,864/x
  3. Step 3: Cross multiply
    57,014.50x = 78,682.44 × 31,864
  4. Step 4: Simplify right side
    57,014.50x = 2,507,137,268.16
  5. Step 5: Solve for x
    x = 2,507,137,268.16/57,014.50
  6. Step 6: Final answer
    x = 43,973.68

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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.