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Finding the Fourth Proportional to 53,097.36, 73,243.84 and 33,190.80

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Solution

The fourth proportional to 53,097.36, 73,243.84 and 33,190.80 is: 45,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,097.36 : 73,243.84 = 33,190.80 : x
  2. Step 2: Convert to fraction form
    53,097.36/73,243.84 = 33,190.80/x
  3. Step 3: Cross multiply
    53,097.36x = 73,243.84 × 33,190.80
  4. Step 4: Simplify right side
    53,097.36x = 2,431,021,644.67
  5. Step 5: Solve for x
    x = 2,431,021,644.67/53,097.36
  6. Step 6: Final answer
    x = 45,784.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.