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Finding the Fourth Proportional to 33,177.54, 49,769.14 and 9,485.46

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Solution

The fourth proportional to 33,177.54, 49,769.14 and 9,485.46 is: 14,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177.54 : 49,769.14 = 9,485.46 : x
  2. Step 2: Convert to fraction form
    33,177.54/49,769.14 = 9,485.46/x
  3. Step 3: Cross multiply
    33,177.54x = 49,769.14 × 9,485.46
  4. Step 4: Simplify right side
    33,177.54x = 472,083,186.70
  5. Step 5: Solve for x
    x = 472,083,186.70/33,177.54
  6. Step 6: Final answer
    x = 14,229.00

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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.