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Finding the Fourth Proportional to 74,523.62, 111,784.44 and 18,364.40

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Solution

The fourth proportional to 74,523.62, 111,784.44 and 18,364.40 is: 27,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,523.62 : 111,784.44 = 18,364.40 : x
  2. Step 2: Convert to fraction form
    74,523.62/111,784.44 = 18,364.40/x
  3. Step 3: Cross multiply
    74,523.62x = 111,784.44 × 18,364.40
  4. Step 4: Simplify right side
    74,523.62x = 2,052,854,169.94
  5. Step 5: Solve for x
    x = 2,052,854,169.94/74,523.62
  6. Step 6: Final answer
    x = 27,546.36

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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.