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Finding the Fourth Proportional to 52,451.70, 72,383.67 and 31,231.86

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Solution

The fourth proportional to 52,451.70, 72,383.67 and 31,231.86 is: 43,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.70 : 72,383.67 = 31,231.86 : x
  2. Step 2: Convert to fraction form
    52,451.70/72,383.67 = 31,231.86/x
  3. Step 3: Cross multiply
    52,451.70x = 72,383.67 × 31,231.86
  4. Step 4: Simplify right side
    52,451.70x = 2,260,676,647.73
  5. Step 5: Solve for x
    x = 2,260,676,647.73/52,451.70
  6. Step 6: Final answer
    x = 43,100.16

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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.