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Finding the Fourth Proportional to 109,867.56, 164,817.12 and 33,972.01

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Solution

The fourth proportional to 109,867.56, 164,817.12 and 33,972.01 is: 50,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,867.56 : 164,817.12 = 33,972.01 : x
  2. Step 2: Convert to fraction form
    109,867.56/164,817.12 = 33,972.01/x
  3. Step 3: Cross multiply
    109,867.56x = 164,817.12 × 33,972.01
  4. Step 4: Simplify right side
    109,867.56x = 5,599,168,024.73
  5. Step 5: Solve for x
    x = 5,599,168,024.73/109,867.56
  6. Step 6: Final answer
    x = 50,962.89

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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.