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Finding the Fourth Proportional to 68,097.28, 102,145.92 and 21,353.80

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Solution

The fourth proportional to 68,097.28, 102,145.92 and 21,353.80 is: 32,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097.28 : 102,145.92 = 21,353.80 : x
  2. Step 2: Convert to fraction form
    68,097.28/102,145.92 = 21,353.80/x
  3. Step 3: Cross multiply
    68,097.28x = 102,145.92 × 21,353.80
  4. Step 4: Simplify right side
    68,097.28x = 2,181,203,546.50
  5. Step 5: Solve for x
    x = 2,181,203,546.50/68,097.28
  6. Step 6: Final answer
    x = 32,030.70

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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.