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Finding the Fourth Proportional to 57,215.30, 78,965.29 and 31,727.34

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Solution

The fourth proportional to 57,215.30, 78,965.29 and 31,727.34 is: 43,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,215.30 : 78,965.29 = 31,727.34 : x
  2. Step 2: Convert to fraction form
    57,215.30/78,965.29 = 31,727.34/x
  3. Step 3: Cross multiply
    57,215.30x = 78,965.29 × 31,727.34
  4. Step 4: Simplify right side
    57,215.30x = 2,505,358,347.57
  5. Step 5: Solve for x
    x = 2,505,358,347.57/57,215.30
  6. Step 6: Final answer
    x = 43,788.26

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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.