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Finding the Fourth Proportional to 70,849.85, 106,158.13 and 49,504.73

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Solution

The fourth proportional to 70,849.85, 106,158.13 and 49,504.73 is: 74,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,849.85 : 106,158.13 = 49,504.73 : x
  2. Step 2: Convert to fraction form
    70,849.85/106,158.13 = 49,504.73/x
  3. Step 3: Cross multiply
    70,849.85x = 106,158.13 × 49,504.73
  4. Step 4: Simplify right side
    70,849.85x = 5,255,328,784.64
  5. Step 5: Solve for x
    x = 5,255,328,784.64/70,849.85
  6. Step 6: Final answer
    x = 74,175.59

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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.