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Finding the Fourth Proportional to 33,182.88, 49,782.72 and 9,809.31

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Solution

The fourth proportional to 33,182.88, 49,782.72 and 9,809.31 is: 14,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.88 : 49,782.72 = 9,809.31 : x
  2. Step 2: Convert to fraction form
    33,182.88/49,782.72 = 9,809.31/x
  3. Step 3: Cross multiply
    33,182.88x = 49,782.72 × 9,809.31
  4. Step 4: Simplify right side
    33,182.88x = 488,334,133.12
  5. Step 5: Solve for x
    x = 488,334,133.12/33,182.88
  6. Step 6: Final answer
    x = 14,716.45

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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.