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Finding the Fourth Proportional to 35,573.72, 49,091.22 and 19,658.43

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Solution

The fourth proportional to 35,573.72, 49,091.22 and 19,658.43 is: 27,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,573.72 : 49,091.22 = 19,658.43 : x
  2. Step 2: Convert to fraction form
    35,573.72/49,091.22 = 19,658.43/x
  3. Step 3: Cross multiply
    35,573.72x = 49,091.22 × 19,658.43
  4. Step 4: Simplify right side
    35,573.72x = 965,056,311.98
  5. Step 5: Solve for x
    x = 965,056,311.98/35,573.72
  6. Step 6: Final answer
    x = 27,128.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.