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Finding the Fourth Proportional to 53,505, 73,841.94 and 30,844.44

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Solution

The fourth proportional to 53,505, 73,841.94 and 30,844.44 is: 42,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505 : 73,841.94 = 30,844.44 : x
  2. Step 2: Convert to fraction form
    53,505/73,841.94 = 30,844.44/x
  3. Step 3: Cross multiply
    53,505x = 73,841.94 × 30,844.44
  4. Step 4: Simplify right side
    53,505x = 2,277,613,287.81
  5. Step 5: Solve for x
    x = 2,277,613,287.81/53,505
  6. Step 6: Final answer
    x = 42,568.23

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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.