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Finding the Fourth Proportional to 68,467.20, 102,700.80 and 31,603.20

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Solution

The fourth proportional to 68,467.20, 102,700.80 and 31,603.20 is: 47,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,467.20 : 102,700.80 = 31,603.20 : x
  2. Step 2: Convert to fraction form
    68,467.20/102,700.80 = 31,603.20/x
  3. Step 3: Cross multiply
    68,467.20x = 102,700.80 × 31,603.20
  4. Step 4: Simplify right side
    68,467.20x = 3,245,673,922.56
  5. Step 5: Solve for x
    x = 3,245,673,922.56/68,467.20
  6. Step 6: Final answer
    x = 47,404.80

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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.