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Finding the Fourth Proportional to 71,104.53, 106,662.92 and 18,514.11

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Solution

The fourth proportional to 71,104.53, 106,662.92 and 18,514.11 is: 27,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,104.53 : 106,662.92 = 18,514.11 : x
  2. Step 2: Convert to fraction form
    71,104.53/106,662.92 = 18,514.11/x
  3. Step 3: Cross multiply
    71,104.53x = 106,662.92 × 18,514.11
  4. Step 4: Simplify right side
    71,104.53x = 1,974,768,941.23
  5. Step 5: Solve for x
    x = 1,974,768,941.23/71,104.53
  6. Step 6: Final answer
    x = 27,772.76

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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.