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Finding the Fourth Proportional to 54,218.49, 74,821.89 and 30,347.38

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Solution

The fourth proportional to 54,218.49, 74,821.89 and 30,347.38 is: 41,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,218.49 : 74,821.89 = 30,347.38 : x
  2. Step 2: Convert to fraction form
    54,218.49/74,821.89 = 30,347.38/x
  3. Step 3: Cross multiply
    54,218.49x = 74,821.89 × 30,347.38
  4. Step 4: Simplify right side
    54,218.49x = 2,270,648,328.15
  5. Step 5: Solve for x
    x = 2,270,648,328.15/54,218.49
  6. Step 6: Final answer
    x = 41,879.59

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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.