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Finding the Fourth Proportional to 33,285.34, 49,924.74 and 9,911.98

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Solution

The fourth proportional to 33,285.34, 49,924.74 and 9,911.98 is: 14,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,285.34 : 49,924.74 = 9,911.98 : x
  2. Step 2: Convert to fraction form
    33,285.34/49,924.74 = 9,911.98/x
  3. Step 3: Cross multiply
    33,285.34x = 49,924.74 × 9,911.98
  4. Step 4: Simplify right side
    33,285.34x = 494,853,024.39
  5. Step 5: Solve for x
    x = 494,853,024.39/33,285.34
  6. Step 6: Final answer
    x = 14,867.00

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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.