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Finding the Fourth Proportional to 54,892.49, 75,722.42 and 33,388.81

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Solution

The fourth proportional to 54,892.49, 75,722.42 and 33,388.81 is: 46,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,892.49 : 75,722.42 = 33,388.81 : x
  2. Step 2: Convert to fraction form
    54,892.49/75,722.42 = 33,388.81/x
  3. Step 3: Cross multiply
    54,892.49x = 75,722.42 × 33,388.81
  4. Step 4: Simplify right side
    54,892.49x = 2,528,281,494.12
  5. Step 5: Solve for x
    x = 2,528,281,494.12/54,892.49
  6. Step 6: Final answer
    x = 46,058.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.