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Finding the Fourth Proportional to 70,245.85, 96,940.04 and 38,414.06

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Solution

The fourth proportional to 70,245.85, 96,940.04 and 38,414.06 is: 53,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,245.85 : 96,940.04 = 38,414.06 : x
  2. Step 2: Convert to fraction form
    70,245.85/96,940.04 = 38,414.06/x
  3. Step 3: Cross multiply
    70,245.85x = 96,940.04 × 38,414.06
  4. Step 4: Simplify right side
    70,245.85x = 3,723,860,563.24
  5. Step 5: Solve for x
    x = 3,723,860,563.24/70,245.85
  6. Step 6: Final answer
    x = 53,011.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.