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Finding the Fourth Proportional to 54,995.88, 75,894.36 and 29,845.38

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Solution

The fourth proportional to 54,995.88, 75,894.36 and 29,845.38 is: 41,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,995.88 : 75,894.36 = 29,845.38 : x
  2. Step 2: Convert to fraction form
    54,995.88/75,894.36 = 29,845.38/x
  3. Step 3: Cross multiply
    54,995.88x = 75,894.36 × 29,845.38
  4. Step 4: Simplify right side
    54,995.88x = 2,265,096,014.06
  5. Step 5: Solve for x
    x = 2,265,096,014.06/54,995.88
  6. Step 6: Final answer
    x = 41,186.65

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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.