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Finding the Fourth Proportional to 72,013.73, 107,967.07 and 34,538.11

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Solution

The fourth proportional to 72,013.73, 107,967.07 and 34,538.11 is: 51,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,013.73 : 107,967.07 = 34,538.11 : x
  2. Step 2: Convert to fraction form
    72,013.73/107,967.07 = 34,538.11/x
  3. Step 3: Cross multiply
    72,013.73x = 107,967.07 × 34,538.11
  4. Step 4: Simplify right side
    72,013.73x = 3,728,978,313.29
  5. Step 5: Solve for x
    x = 3,728,978,313.29/72,013.73
  6. Step 6: Final answer
    x = 51,781.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.