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Finding the Fourth Proportional to 54,161.34, 74,735.91 and 30,284.16

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Solution

The fourth proportional to 54,161.34, 74,735.91 and 30,284.16 is: 41,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,161.34 : 74,735.91 = 30,284.16 : x
  2. Step 2: Convert to fraction form
    54,161.34/74,735.91 = 30,284.16/x
  3. Step 3: Cross multiply
    54,161.34x = 74,735.91 × 30,284.16
  4. Step 4: Simplify right side
    54,161.34x = 2,263,314,256.19
  5. Step 5: Solve for x
    x = 2,263,314,256.19/54,161.34
  6. Step 6: Final answer
    x = 41,788.37

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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.