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Finding the Fourth Proportional to 55,382.56, 76,427.74 and 30,232.06

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Solution

The fourth proportional to 55,382.56, 76,427.74 and 30,232.06 is: 41,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.56 : 76,427.74 = 30,232.06 : x
  2. Step 2: Convert to fraction form
    55,382.56/76,427.74 = 30,232.06/x
  3. Step 3: Cross multiply
    55,382.56x = 76,427.74 × 30,232.06
  4. Step 4: Simplify right side
    55,382.56x = 2,310,568,021.34
  5. Step 5: Solve for x
    x = 2,310,568,021.34/55,382.56
  6. Step 6: Final answer
    x = 41,720.14

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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.