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Finding the Fourth Proportional to 52,972.20, 73,071.09 and 31,739.16

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Solution

The fourth proportional to 52,972.20, 73,071.09 and 31,739.16 is: 43,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,972.20 : 73,071.09 = 31,739.16 : x
  2. Step 2: Convert to fraction form
    52,972.20/73,071.09 = 31,739.16/x
  3. Step 3: Cross multiply
    52,972.20x = 73,071.09 × 31,739.16
  4. Step 4: Simplify right side
    52,972.20x = 2,319,215,016.88
  5. Step 5: Solve for x
    x = 2,319,215,016.88/52,972.20
  6. Step 6: Final answer
    x = 43,781.74

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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.