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Finding the Fourth Proportional to 35,930.50, 49,584.09 and 21,026.50

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Solution

The fourth proportional to 35,930.50, 49,584.09 and 21,026.50 is: 29,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.50 : 49,584.09 = 21,026.50 : x
  2. Step 2: Convert to fraction form
    35,930.50/49,584.09 = 21,026.50/x
  3. Step 3: Cross multiply
    35,930.50x = 49,584.09 × 21,026.50
  4. Step 4: Simplify right side
    35,930.50x = 1,042,579,868.39
  5. Step 5: Solve for x
    x = 1,042,579,868.39/35,930.50
  6. Step 6: Final answer
    x = 29,016.57

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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.