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Finding the Fourth Proportional to 54,156.56, 74,743.01 and 30,284.57

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Solution

The fourth proportional to 54,156.56, 74,743.01 and 30,284.57 is: 41,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,156.56 : 74,743.01 = 30,284.57 : x
  2. Step 2: Convert to fraction form
    54,156.56/74,743.01 = 30,284.57/x
  3. Step 3: Cross multiply
    54,156.56x = 74,743.01 × 30,284.57
  4. Step 4: Simplify right side
    54,156.56x = 2,263,559,393.22
  5. Step 5: Solve for x
    x = 2,263,559,393.22/54,156.56
  6. Step 6: Final answer
    x = 41,796.59

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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.