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Finding the Fourth Proportional to 33,704, 46,511.52 and 18,800

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Solution

The fourth proportional to 33,704, 46,511.52 and 18,800 is: 25,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,704 : 46,511.52 = 18,800 : x
  2. Step 2: Convert to fraction form
    33,704/46,511.52 = 18,800/x
  3. Step 3: Cross multiply
    33,704x = 46,511.52 × 18,800
  4. Step 4: Simplify right side
    33,704x = 874,416,576.00
  5. Step 5: Solve for x
    x = 874,416,576.00/33,704
  6. Step 6: Final answer
    x = 25,944.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.