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Finding the Fourth Proportional to 57,223.71, 78,967.31 and 31,730.18

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Solution

The fourth proportional to 57,223.71, 78,967.31 and 31,730.18 is: 43,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.71 : 78,967.31 = 31,730.18 : x
  2. Step 2: Convert to fraction form
    57,223.71/78,967.31 = 31,730.18/x
  3. Step 3: Cross multiply
    57,223.71x = 78,967.31 × 31,730.18
  4. Step 4: Simplify right side
    57,223.71x = 2,505,646,406.93
  5. Step 5: Solve for x
    x = 2,505,646,406.93/57,223.71
  6. Step 6: Final answer
    x = 43,786.86

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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.