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Finding the Fourth Proportional to 54,097.83, 74,653.62 and 30,224.67

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Solution

The fourth proportional to 54,097.83, 74,653.62 and 30,224.67 is: 41,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,097.83 : 74,653.62 = 30,224.67 : x
  2. Step 2: Convert to fraction form
    54,097.83/74,653.62 = 30,224.67/x
  3. Step 3: Cross multiply
    54,097.83x = 74,653.62 × 30,224.67
  4. Step 4: Simplify right side
    54,097.83x = 2,256,381,028.81
  5. Step 5: Solve for x
    x = 2,256,381,028.81/54,097.83
  6. Step 6: Final answer
    x = 41,709.27

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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.