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Finding the Fourth Proportional to 70,894.11, 106,350.89 and 31,450.35

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Solution

The fourth proportional to 70,894.11, 106,350.89 and 31,450.35 is: 47,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.11 : 106,350.89 = 31,450.35 : x
  2. Step 2: Convert to fraction form
    70,894.11/106,350.89 = 31,450.35/x
  3. Step 3: Cross multiply
    70,894.11x = 106,350.89 × 31,450.35
  4. Step 4: Simplify right side
    70,894.11x = 3,344,772,556.06
  5. Step 5: Solve for x
    x = 3,344,772,556.06/70,894.11
  6. Step 6: Final answer
    x = 47,179.84

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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.