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Finding the Fourth Proportional to 72,446.99, 108,658.82 and 19,844.18

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Solution

The fourth proportional to 72,446.99, 108,658.82 and 19,844.18 is: 29,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,446.99 : 108,658.82 = 19,844.18 : x
  2. Step 2: Convert to fraction form
    72,446.99/108,658.82 = 19,844.18/x
  3. Step 3: Cross multiply
    72,446.99x = 108,658.82 × 19,844.18
  4. Step 4: Simplify right side
    72,446.99x = 2,156,244,540.15
  5. Step 5: Solve for x
    x = 2,156,244,540.15/72,446.99
  6. Step 6: Final answer
    x = 29,763.07

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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.