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Finding the Fourth Proportional to 33,278, 49,924.29 and 12,501.50

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Solution

The fourth proportional to 33,278, 49,924.29 and 12,501.50 is: 18,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,278 : 49,924.29 = 12,501.50 : x
  2. Step 2: Convert to fraction form
    33,278/49,924.29 = 12,501.50/x
  3. Step 3: Cross multiply
    33,278x = 49,924.29 × 12,501.50
  4. Step 4: Simplify right side
    33,278x = 624,128,511.44
  5. Step 5: Solve for x
    x = 624,128,511.44/33,278
  6. Step 6: Final answer
    x = 18,754.99

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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.