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Finding the Fourth Proportional to 70,706.49, 106,054.20 and 41,105.43

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Solution

The fourth proportional to 70,706.49, 106,054.20 and 41,105.43 is: 61,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706.49 : 106,054.20 = 41,105.43 : x
  2. Step 2: Convert to fraction form
    70,706.49/106,054.20 = 41,105.43/x
  3. Step 3: Cross multiply
    70,706.49x = 106,054.20 × 41,105.43
  4. Step 4: Simplify right side
    70,706.49x = 4,359,403,494.31
  5. Step 5: Solve for x
    x = 4,359,403,494.31/70,706.49
  6. Step 6: Final answer
    x = 61,654.93

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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.