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Finding the Fourth Proportional to 68,404.36, 102,642.06 and 51,759.44

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Solution

The fourth proportional to 68,404.36, 102,642.06 and 51,759.44 is: 77,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,404.36 : 102,642.06 = 51,759.44 : x
  2. Step 2: Convert to fraction form
    68,404.36/102,642.06 = 51,759.44/x
  3. Step 3: Cross multiply
    68,404.36x = 102,642.06 × 51,759.44
  4. Step 4: Simplify right side
    68,404.36x = 5,312,695,546.05
  5. Step 5: Solve for x
    x = 5,312,695,546.05/68,404.36
  6. Step 6: Final answer
    x = 77,666.04

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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.