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Finding the Fourth Proportional to 33,076.64, 49,615.42 and 9,703.56

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Solution

The fourth proportional to 33,076.64, 49,615.42 and 9,703.56 is: 14,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.64 : 49,615.42 = 9,703.56 : x
  2. Step 2: Convert to fraction form
    33,076.64/49,615.42 = 9,703.56/x
  3. Step 3: Cross multiply
    33,076.64x = 49,615.42 × 9,703.56
  4. Step 4: Simplify right side
    33,076.64x = 481,446,204.90
  5. Step 5: Solve for x
    x = 481,446,204.90/33,076.64
  6. Step 6: Final answer
    x = 14,555.47

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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.