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Finding the Fourth Proportional to 154,021.83, 231,041 and 48,849

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Solution

The fourth proportional to 154,021.83, 231,041 and 48,849 is: 73,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,021.83 : 231,041 = 48,849 : x
  2. Step 2: Convert to fraction form
    154,021.83/231,041 = 48,849/x
  3. Step 3: Cross multiply
    154,021.83x = 231,041 × 48,849
  4. Step 4: Simplify right side
    154,021.83x = 11,286,121,809
  5. Step 5: Solve for x
    x = 11,286,121,809/154,021.83
  6. Step 6: Final answer
    x = 73,276.12

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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.