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Finding the Fourth Proportional to 33,378.59, 50,076.07 and 10,005

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Solution

The fourth proportional to 33,378.59, 50,076.07 and 10,005 is: 15,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378.59 : 50,076.07 = 10,005 : x
  2. Step 2: Convert to fraction form
    33,378.59/50,076.07 = 10,005/x
  3. Step 3: Cross multiply
    33,378.59x = 50,076.07 × 10,005
  4. Step 4: Simplify right side
    33,378.59x = 501,011,055.34
  5. Step 5: Solve for x
    x = 501,011,055.34/33,378.59
  6. Step 6: Final answer
    x = 15,009.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.