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Finding the Fourth Proportional to 33,032.56, 49,542.36 and 9,653.54

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Solution

The fourth proportional to 33,032.56, 49,542.36 and 9,653.54 is: 14,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032.56 : 49,542.36 = 9,653.54 : x
  2. Step 2: Convert to fraction form
    33,032.56/49,542.36 = 9,653.54/x
  3. Step 3: Cross multiply
    33,032.56x = 49,542.36 × 9,653.54
  4. Step 4: Simplify right side
    33,032.56x = 478,259,153.95
  5. Step 5: Solve for x
    x = 478,259,153.95/33,032.56
  6. Step 6: Final answer
    x = 14,478.42

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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.