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Finding the Fourth Proportional to 57,141.88, 78,864.06 and 31,993

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Solution

The fourth proportional to 57,141.88, 78,864.06 and 31,993 is: 44,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.88 : 78,864.06 = 31,993 : x
  2. Step 2: Convert to fraction form
    57,141.88/78,864.06 = 31,993/x
  3. Step 3: Cross multiply
    57,141.88x = 78,864.06 × 31,993
  4. Step 4: Simplify right side
    57,141.88x = 2,523,097,871.58
  5. Step 5: Solve for x
    x = 2,523,097,871.58/57,141.88
  6. Step 6: Final answer
    x = 44,154.97

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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.