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Finding the Fourth Proportional to 54,794.56, 75,504.96 and 37,804

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Solution

The fourth proportional to 54,794.56, 75,504.96 and 37,804 is: 52,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794.56 : 75,504.96 = 37,804 : x
  2. Step 2: Convert to fraction form
    54,794.56/75,504.96 = 37,804/x
  3. Step 3: Cross multiply
    54,794.56x = 75,504.96 × 37,804
  4. Step 4: Simplify right side
    54,794.56x = 2,854,389,507.84
  5. Step 5: Solve for x
    x = 2,854,389,507.84/54,794.56
  6. Step 6: Final answer
    x = 52,092.57

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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.