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Finding the Fourth Proportional to 33,135.70, 49,698.29 and 9,756.67

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Solution

The fourth proportional to 33,135.70, 49,698.29 and 9,756.67 is: 14,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135.70 : 49,698.29 = 9,756.67 : x
  2. Step 2: Convert to fraction form
    33,135.70/49,698.29 = 9,756.67/x
  3. Step 3: Cross multiply
    33,135.70x = 49,698.29 × 9,756.67
  4. Step 4: Simplify right side
    33,135.70x = 484,889,815.09
  5. Step 5: Solve for x
    x = 484,889,815.09/33,135.70
  6. Step 6: Final answer
    x = 14,633.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.