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Finding the Fourth Proportional to 57,014.64, 78,680.31 and 31,864.14

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Solution

The fourth proportional to 57,014.64, 78,680.31 and 31,864.14 is: 43,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014.64 : 78,680.31 = 31,864.14 : x
  2. Step 2: Convert to fraction form
    57,014.64/78,680.31 = 31,864.14/x
  3. Step 3: Cross multiply
    57,014.64x = 78,680.31 × 31,864.14
  4. Step 4: Simplify right side
    57,014.64x = 2,507,080,413.08
  5. Step 5: Solve for x
    x = 2,507,080,413.08/57,014.64
  6. Step 6: Final answer
    x = 43,972.57

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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.