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Finding the Fourth Proportional to 74,199.96, 111,272.58 and 52,002

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Solution

The fourth proportional to 74,199.96, 111,272.58 and 52,002 is: 77,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,199.96 : 111,272.58 = 52,002 : x
  2. Step 2: Convert to fraction form
    74,199.96/111,272.58 = 52,002/x
  3. Step 3: Cross multiply
    74,199.96x = 111,272.58 × 52,002
  4. Step 4: Simplify right side
    74,199.96x = 5,786,396,705.16
  5. Step 5: Solve for x
    x = 5,786,396,705.16/74,199.96
  6. Step 6: Final answer
    x = 77,983.83

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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.