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Finding the Fourth Proportional to 33,177.36, 49,771.47 and 9,806.16

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Solution

The fourth proportional to 33,177.36, 49,771.47 and 9,806.16 is: 14,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177.36 : 49,771.47 = 9,806.16 : x
  2. Step 2: Convert to fraction form
    33,177.36/49,771.47 = 9,806.16/x
  3. Step 3: Cross multiply
    33,177.36x = 49,771.47 × 9,806.16
  4. Step 4: Simplify right side
    33,177.36x = 488,066,998.26
  5. Step 5: Solve for x
    x = 488,066,998.26/33,177.36
  6. Step 6: Final answer
    x = 14,710.84

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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.