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Finding the Fourth Proportional to 71,243.85, 106,826.34 and 29,153.52

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Solution

The fourth proportional to 71,243.85, 106,826.34 and 29,153.52 is: 43,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,243.85 : 106,826.34 = 29,153.52 : x
  2. Step 2: Convert to fraction form
    71,243.85/106,826.34 = 29,153.52/x
  3. Step 3: Cross multiply
    71,243.85x = 106,826.34 × 29,153.52
  4. Step 4: Simplify right side
    71,243.85x = 3,114,363,949.04
  5. Step 5: Solve for x
    x = 3,114,363,949.04/71,243.85
  6. Step 6: Final answer
    x = 43,714.14

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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.