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Finding the Fourth Proportional to 71,223.98, 106,796.53 and 29,133.62

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Solution

The fourth proportional to 71,223.98, 106,796.53 and 29,133.62 is: 43,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,223.98 : 106,796.53 = 29,133.62 : x
  2. Step 2: Convert to fraction form
    71,223.98/106,796.53 = 29,133.62/x
  3. Step 3: Cross multiply
    71,223.98x = 106,796.53 × 29,133.62
  4. Step 4: Simplify right side
    71,223.98x = 3,111,369,247.75
  5. Step 5: Solve for x
    x = 3,111,369,247.75/71,223.98
  6. Step 6: Final answer
    x = 43,684.29

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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.