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Finding the Fourth Proportional to 33,147.63, 49,725.09 and 9,774.07

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Solution

The fourth proportional to 33,147.63, 49,725.09 and 9,774.07 is: 14,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.63 : 49,725.09 = 9,774.07 : x
  2. Step 2: Convert to fraction form
    33,147.63/49,725.09 = 9,774.07/x
  3. Step 3: Cross multiply
    33,147.63x = 49,725.09 × 9,774.07
  4. Step 4: Simplify right side
    33,147.63x = 486,016,386.10
  5. Step 5: Solve for x
    x = 486,016,386.10/33,147.63
  6. Step 6: Final answer
    x = 14,662.18

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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.