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Finding the Fourth Proportional to 54,415.53, 75,093.21 and 30,542.40

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Solution

The fourth proportional to 54,415.53, 75,093.21 and 30,542.40 is: 42,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415.53 : 75,093.21 = 30,542.40 : x
  2. Step 2: Convert to fraction form
    54,415.53/75,093.21 = 30,542.40/x
  3. Step 3: Cross multiply
    54,415.53x = 75,093.21 × 30,542.40
  4. Step 4: Simplify right side
    54,415.53x = 2,293,526,857.10
  5. Step 5: Solve for x
    x = 2,293,526,857.10/54,415.53
  6. Step 6: Final answer
    x = 42,148.39

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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.