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Finding the Fourth Proportional to 68,583.44, 102,885.24 and 27,019.28

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Solution

The fourth proportional to 68,583.44, 102,885.24 and 27,019.28 is: 40,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,583.44 : 102,885.24 = 27,019.28 : x
  2. Step 2: Convert to fraction form
    68,583.44/102,885.24 = 27,019.28/x
  3. Step 3: Cross multiply
    68,583.44x = 102,885.24 × 27,019.28
  4. Step 4: Simplify right side
    68,583.44x = 2,779,885,107.43
  5. Step 5: Solve for x
    x = 2,779,885,107.43/68,583.44
  6. Step 6: Final answer
    x = 40,532.89

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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.