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Finding the Fourth Proportional to 33,702.75, 50,554.13 and 9,078.75

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Solution

The fourth proportional to 33,702.75, 50,554.13 and 9,078.75 is: 13,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.75 : 50,554.13 = 9,078.75 : x
  2. Step 2: Convert to fraction form
    33,702.75/50,554.13 = 9,078.75/x
  3. Step 3: Cross multiply
    33,702.75x = 50,554.13 × 9,078.75
  4. Step 4: Simplify right side
    33,702.75x = 458,968,262.34
  5. Step 5: Solve for x
    x = 458,968,262.34/33,702.75
  6. Step 6: Final answer
    x = 13,618.13

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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.