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Finding the Fourth Proportional to 68,441.29, 102,665.62 and 21,697.81

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Solution

The fourth proportional to 68,441.29, 102,665.62 and 21,697.81 is: 32,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441.29 : 102,665.62 = 21,697.81 : x
  2. Step 2: Convert to fraction form
    68,441.29/102,665.62 = 21,697.81/x
  3. Step 3: Cross multiply
    68,441.29x = 102,665.62 × 21,697.81
  4. Step 4: Simplify right side
    68,441.29x = 2,227,619,007.80
  5. Step 5: Solve for x
    x = 2,227,619,007.80/68,441.29
  6. Step 6: Final answer
    x = 32,547.88

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Why These Related Problems?

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