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Finding the Fourth Proportional to 33,761.76, 50,636.80 and 9,132

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Solution

The fourth proportional to 33,761.76, 50,636.80 and 9,132 is: 13,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,761.76 : 50,636.80 = 9,132 : x
  2. Step 2: Convert to fraction form
    33,761.76/50,636.80 = 9,132/x
  3. Step 3: Cross multiply
    33,761.76x = 50,636.80 × 9,132
  4. Step 4: Simplify right side
    33,761.76x = 462,415,257.60
  5. Step 5: Solve for x
    x = 462,415,257.60/33,761.76
  6. Step 6: Final answer
    x = 13,696.42

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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.