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Finding the Fourth Proportional to 71,194.82, 106,792.09 and 29,094.66

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Solution

The fourth proportional to 71,194.82, 106,792.09 and 29,094.66 is: 43,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,194.82 : 106,792.09 = 29,094.66 : x
  2. Step 2: Convert to fraction form
    71,194.82/106,792.09 = 29,094.66/x
  3. Step 3: Cross multiply
    71,194.82x = 106,792.09 × 29,094.66
  4. Step 4: Simplify right side
    71,194.82x = 3,107,079,476.50
  5. Step 5: Solve for x
    x = 3,107,079,476.50/71,194.82
  6. Step 6: Final answer
    x = 43,641.93

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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.