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Finding the Fourth Proportional to 54,057.78, 81,051.74 and 22,489.60

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Solution

The fourth proportional to 54,057.78, 81,051.74 and 22,489.60 is: 33,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057.78 : 81,051.74 = 22,489.60 : x
  2. Step 2: Convert to fraction form
    54,057.78/81,051.74 = 22,489.60/x
  3. Step 3: Cross multiply
    54,057.78x = 81,051.74 × 22,489.60
  4. Step 4: Simplify right side
    54,057.78x = 1,822,821,133.13
  5. Step 5: Solve for x
    x = 1,822,821,133.13/54,057.78
  6. Step 6: Final answer
    x = 33,719.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.