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Finding the Fourth Proportional to 74,471.82, 111,672.62 and 27,053.48

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Solution

The fourth proportional to 74,471.82, 111,672.62 and 27,053.48 is: 40,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.82 : 111,672.62 = 27,053.48 : x
  2. Step 2: Convert to fraction form
    74,471.82/111,672.62 = 27,053.48/x
  3. Step 3: Cross multiply
    74,471.82x = 111,672.62 × 27,053.48
  4. Step 4: Simplify right side
    74,471.82x = 3,021,132,991.72
  5. Step 5: Solve for x
    x = 3,021,132,991.72/74,471.82
  6. Step 6: Final answer
    x = 40,567.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.