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Finding the Fourth Proportional to 57,214.29, 78,963.89 and 31,726.32

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Solution

The fourth proportional to 57,214.29, 78,963.89 and 31,726.32 is: 43,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.29 : 78,963.89 = 31,726.32 : x
  2. Step 2: Convert to fraction form
    57,214.29/78,963.89 = 31,726.32/x
  3. Step 3: Cross multiply
    57,214.29x = 78,963.89 × 31,726.32
  4. Step 4: Simplify right side
    57,214.29x = 2,505,233,642.58
  5. Step 5: Solve for x
    x = 2,505,233,642.58/57,214.29
  6. Step 6: Final answer
    x = 43,786.85

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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.