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Finding the Fourth Proportional to 38,735.50, 58,104.06 and 11,033.50

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Solution

The fourth proportional to 38,735.50, 58,104.06 and 11,033.50 is: 16,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,735.50 : 58,104.06 = 11,033.50 : x
  2. Step 2: Convert to fraction form
    38,735.50/58,104.06 = 11,033.50/x
  3. Step 3: Cross multiply
    38,735.50x = 58,104.06 × 11,033.50
  4. Step 4: Simplify right side
    38,735.50x = 641,091,146.01
  5. Step 5: Solve for x
    x = 641,091,146.01/38,735.50
  6. Step 6: Final answer
    x = 16,550.48

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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.