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Finding the Fourth Proportional to 33,820, 50,730.16 and 11,932

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Solution

The fourth proportional to 33,820, 50,730.16 and 11,932 is: 17,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820 : 50,730.16 = 11,932 : x
  2. Step 2: Convert to fraction form
    33,820/50,730.16 = 11,932/x
  3. Step 3: Cross multiply
    33,820x = 50,730.16 × 11,932
  4. Step 4: Simplify right side
    33,820x = 605,312,269.12
  5. Step 5: Solve for x
    x = 605,312,269.12/33,820
  6. Step 6: Final answer
    x = 17,898.06

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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.