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Finding the Fourth Proportional to 33,509.31, 50,255.65 and 11,322.19

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Solution

The fourth proportional to 33,509.31, 50,255.65 and 11,322.19 is: 16,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.31 : 50,255.65 = 11,322.19 : x
  2. Step 2: Convert to fraction form
    33,509.31/50,255.65 = 11,322.19/x
  3. Step 3: Cross multiply
    33,509.31x = 50,255.65 × 11,322.19
  4. Step 4: Simplify right side
    33,509.31x = 569,004,017.87
  5. Step 5: Solve for x
    x = 569,004,017.87/33,509.31
  6. Step 6: Final answer
    x = 16,980.48

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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.