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Finding the Fourth Proportional to 70,849.60, 106,157.75 and 49,504.48

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Solution

The fourth proportional to 70,849.60, 106,157.75 and 49,504.48 is: 74,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,849.60 : 106,157.75 = 49,504.48 : x
  2. Step 2: Convert to fraction form
    70,849.60/106,157.75 = 49,504.48/x
  3. Step 3: Cross multiply
    70,849.60x = 106,157.75 × 49,504.48
  4. Step 4: Simplify right side
    70,849.60x = 5,255,284,211.72
  5. Step 5: Solve for x
    x = 5,255,284,211.72/70,849.60
  6. Step 6: Final answer
    x = 74,175.21

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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.