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Finding the Fourth Proportional to 33,177.37, 49,774.48 and 9,803.81

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Solution

The fourth proportional to 33,177.37, 49,774.48 and 9,803.81 is: 14,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177.37 : 49,774.48 = 9,803.81 : x
  2. Step 2: Convert to fraction form
    33,177.37/49,774.48 = 9,803.81/x
  3. Step 3: Cross multiply
    33,177.37x = 49,774.48 × 9,803.81
  4. Step 4: Simplify right side
    33,177.37x = 487,979,295.90
  5. Step 5: Solve for x
    x = 487,979,295.90/33,177.37
  6. Step 6: Final answer
    x = 14,708.20

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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.