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Finding the Fourth Proportional to 33,103.74, 49,659.26 and 9,732

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Solution

The fourth proportional to 33,103.74, 49,659.26 and 9,732 is: 14,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.74 : 49,659.26 = 9,732 : x
  2. Step 2: Convert to fraction form
    33,103.74/49,659.26 = 9,732/x
  3. Step 3: Cross multiply
    33,103.74x = 49,659.26 × 9,732
  4. Step 4: Simplify right side
    33,103.74x = 483,283,918.32
  5. Step 5: Solve for x
    x = 483,283,918.32/33,103.74
  6. Step 6: Final answer
    x = 14,599.07

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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.