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Finding the Fourth Proportional to 33,114.40, 49,671.56 and 8,490.40

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Solution

The fourth proportional to 33,114.40, 49,671.56 and 8,490.40 is: 12,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.40 : 49,671.56 = 8,490.40 : x
  2. Step 2: Convert to fraction form
    33,114.40/49,671.56 = 8,490.40/x
  3. Step 3: Cross multiply
    33,114.40x = 49,671.56 × 8,490.40
  4. Step 4: Simplify right side
    33,114.40x = 421,731,413.02
  5. Step 5: Solve for x
    x = 421,731,413.02/33,114.40
  6. Step 6: Final answer
    x = 12,735.59

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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.