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Finding the Fourth Proportional to 33,302.63, 49,961.84 and 9,929.67

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Solution

The fourth proportional to 33,302.63, 49,961.84 and 9,929.67 is: 14,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.63 : 49,961.84 = 9,929.67 : x
  2. Step 2: Convert to fraction form
    33,302.63/49,961.84 = 9,929.67/x
  3. Step 3: Cross multiply
    33,302.63x = 49,961.84 × 9,929.67
  4. Step 4: Simplify right side
    33,302.63x = 496,104,534.14
  5. Step 5: Solve for x
    x = 496,104,534.14/33,302.63
  6. Step 6: Final answer
    x = 14,896.86

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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.