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Finding the Fourth Proportional to 33,710.64, 50,550.22 and 10,009.47

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Solution

The fourth proportional to 33,710.64, 50,550.22 and 10,009.47 is: 15,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,710.64 : 50,550.22 = 10,009.47 : x
  2. Step 2: Convert to fraction form
    33,710.64/50,550.22 = 10,009.47/x
  3. Step 3: Cross multiply
    33,710.64x = 50,550.22 × 10,009.47
  4. Step 4: Simplify right side
    33,710.64x = 505,980,910.58
  5. Step 5: Solve for x
    x = 505,980,910.58/33,710.64
  6. Step 6: Final answer
    x = 15,009.53

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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.