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Finding the Fourth Proportional to 49,000.50, 73,504.14 and 19,418.34

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Solution

The fourth proportional to 49,000.50, 73,504.14 and 19,418.34 is: 29,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000.50 : 73,504.14 = 19,418.34 : x
  2. Step 2: Convert to fraction form
    49,000.50/73,504.14 = 19,418.34/x
  3. Step 3: Cross multiply
    49,000.50x = 73,504.14 × 19,418.34
  4. Step 4: Simplify right side
    49,000.50x = 1,427,328,381.93
  5. Step 5: Solve for x
    x = 1,427,328,381.93/49,000.50
  6. Step 6: Final answer
    x = 29,128.85

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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.