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Finding the Fourth Proportional to 52,972.32, 73,071.26 and 31,739.29

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Solution

The fourth proportional to 52,972.32, 73,071.26 and 31,739.29 is: 43,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,972.32 : 73,071.26 = 31,739.29 : x
  2. Step 2: Convert to fraction form
    52,972.32/73,071.26 = 31,739.29/x
  3. Step 3: Cross multiply
    52,972.32x = 73,071.26 × 31,739.29
  4. Step 4: Simplify right side
    52,972.32x = 2,319,229,867.99
  5. Step 5: Solve for x
    x = 2,319,229,867.99/52,972.32
  6. Step 6: Final answer
    x = 43,781.92

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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.