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Finding the Fourth Proportional to 68,297.54, 102,446.32 and 21,554.06

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Solution

The fourth proportional to 68,297.54, 102,446.32 and 21,554.06 is: 32,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,297.54 : 102,446.32 = 21,554.06 : x
  2. Step 2: Convert to fraction form
    68,297.54/102,446.32 = 21,554.06/x
  3. Step 3: Cross multiply
    68,297.54x = 102,446.32 × 21,554.06
  4. Step 4: Simplify right side
    68,297.54x = 2,208,134,330.29
  5. Step 5: Solve for x
    x = 2,208,134,330.29/68,297.54
  6. Step 6: Final answer
    x = 32,331.09

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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.