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Finding the Fourth Proportional to 74,523.63, 111,796.56 and 24,609

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Solution

The fourth proportional to 74,523.63, 111,796.56 and 24,609 is: 36,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,523.63 : 111,796.56 = 24,609 : x
  2. Step 2: Convert to fraction form
    74,523.63/111,796.56 = 24,609/x
  3. Step 3: Cross multiply
    74,523.63x = 111,796.56 × 24,609
  4. Step 4: Simplify right side
    74,523.63x = 2,751,201,545.04
  5. Step 5: Solve for x
    x = 2,751,201,545.04/74,523.63
  6. Step 6: Final answer
    x = 36,917.17

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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.