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Finding the Fourth Proportional to 33,725, 50,587.50 and 9,101

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Solution

The fourth proportional to 33,725, 50,587.50 and 9,101 is: 13,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725 : 50,587.50 = 9,101 : x
  2. Step 2: Convert to fraction form
    33,725/50,587.50 = 9,101/x
  3. Step 3: Cross multiply
    33,725x = 50,587.50 × 9,101
  4. Step 4: Simplify right side
    33,725x = 460,396,837.50
  5. Step 5: Solve for x
    x = 460,396,837.50/33,725
  6. Step 6: Final answer
    x = 13,651.50

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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.