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Finding the Fourth Proportional to 68,412.40, 102,617.89 and 21,665.27

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Solution

The fourth proportional to 68,412.40, 102,617.89 and 21,665.27 is: 32,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412.40 : 102,617.89 = 21,665.27 : x
  2. Step 2: Convert to fraction form
    68,412.40/102,617.89 = 21,665.27/x
  3. Step 3: Cross multiply
    68,412.40x = 102,617.89 × 21,665.27
  4. Step 4: Simplify right side
    68,412.40x = 2,223,244,496.06
  5. Step 5: Solve for x
    x = 2,223,244,496.06/68,412.40
  6. Step 6: Final answer
    x = 32,497.68

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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.