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Finding the Fourth Proportional to 33,651.23, 50,475.02 and 10,275.84

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Solution

The fourth proportional to 33,651.23, 50,475.02 and 10,275.84 is: 15,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,651.23 : 50,475.02 = 10,275.84 : x
  2. Step 2: Convert to fraction form
    33,651.23/50,475.02 = 10,275.84/x
  3. Step 3: Cross multiply
    33,651.23x = 50,475.02 × 10,275.84
  4. Step 4: Simplify right side
    33,651.23x = 518,673,178.14
  5. Step 5: Solve for x
    x = 518,673,178.14/33,651.23
  6. Step 6: Final answer
    x = 15,413.20

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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.