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Finding the Fourth Proportional to 71,134.66, 106,679.31 and 29,014.66

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Solution

The fourth proportional to 71,134.66, 106,679.31 and 29,014.66 is: 43,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.66 : 106,679.31 = 29,014.66 : x
  2. Step 2: Convert to fraction form
    71,134.66/106,679.31 = 29,014.66/x
  3. Step 3: Cross multiply
    71,134.66x = 106,679.31 × 29,014.66
  4. Step 4: Simplify right side
    71,134.66x = 3,095,263,908.68
  5. Step 5: Solve for x
    x = 3,095,263,908.68/71,134.66
  6. Step 6: Final answer
    x = 43,512.74

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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.