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Finding the Fourth Proportional to 68,012.40, 102,022.02 and 48,234.48

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Solution

The fourth proportional to 68,012.40, 102,022.02 and 48,234.48 is: 72,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,012.40 : 102,022.02 = 48,234.48 : x
  2. Step 2: Convert to fraction form
    68,012.40/102,022.02 = 48,234.48/x
  3. Step 3: Cross multiply
    68,012.40x = 102,022.02 × 48,234.48
  4. Step 4: Simplify right side
    68,012.40x = 4,920,979,083.25
  5. Step 5: Solve for x
    x = 4,920,979,083.25/68,012.40
  6. Step 6: Final answer
    x = 72,354.15

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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.