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Finding the Fourth Proportional to 54,186.37, 74,780 and 30,313.44

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Solution

The fourth proportional to 54,186.37, 74,780 and 30,313.44 is: 41,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,186.37 : 74,780 = 30,313.44 : x
  2. Step 2: Convert to fraction form
    54,186.37/74,780 = 30,313.44/x
  3. Step 3: Cross multiply
    54,186.37x = 74,780 × 30,313.44
  4. Step 4: Simplify right side
    54,186.37x = 2,266,839,043.20
  5. Step 5: Solve for x
    x = 2,266,839,043.20/54,186.37
  6. Step 6: Final answer
    x = 41,834.12

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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.