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Finding the Fourth Proportional to 33,149.76, 49,729.50 and 9,773.16

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Solution

The fourth proportional to 33,149.76, 49,729.50 and 9,773.16 is: 14,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.76 : 49,729.50 = 9,773.16 : x
  2. Step 2: Convert to fraction form
    33,149.76/49,729.50 = 9,773.16/x
  3. Step 3: Cross multiply
    33,149.76x = 49,729.50 × 9,773.16
  4. Step 4: Simplify right side
    33,149.76x = 486,014,360.22
  5. Step 5: Solve for x
    x = 486,014,360.22/33,149.76
  6. Step 6: Final answer
    x = 14,661.17

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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.