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Finding the Fourth Proportional to 32,833.98, 49,253 and 22,299.53

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Solution

The fourth proportional to 32,833.98, 49,253 and 22,299.53 is: 33,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.98 : 49,253 = 22,299.53 : x
  2. Step 2: Convert to fraction form
    32,833.98/49,253 = 22,299.53/x
  3. Step 3: Cross multiply
    32,833.98x = 49,253 × 22,299.53
  4. Step 4: Simplify right side
    32,833.98x = 1,098,318,751.09
  5. Step 5: Solve for x
    x = 1,098,318,751.09/32,833.98
  6. Step 6: Final answer
    x = 33,450.67

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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.