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Finding the Fourth Proportional to 75,891, 104,731.23 and 41,899.38

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Solution

The fourth proportional to 75,891, 104,731.23 and 41,899.38 is: 57,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891 : 104,731.23 = 41,899.38 : x
  2. Step 2: Convert to fraction form
    75,891/104,731.23 = 41,899.38/x
  3. Step 3: Cross multiply
    75,891x = 104,731.23 × 41,899.38
  4. Step 4: Simplify right side
    75,891x = 4,388,173,603.64
  5. Step 5: Solve for x
    x = 4,388,173,603.64/75,891
  6. Step 6: Final answer
    x = 57,822.06

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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.