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Finding the Fourth Proportional to 33,652.23, 46,438.42 and 19,509.67

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Solution

The fourth proportional to 33,652.23, 46,438.42 and 19,509.67 is: 26,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.23 : 46,438.42 = 19,509.67 : x
  2. Step 2: Convert to fraction form
    33,652.23/46,438.42 = 19,509.67/x
  3. Step 3: Cross multiply
    33,652.23x = 46,438.42 × 19,509.67
  4. Step 4: Simplify right side
    33,652.23x = 905,998,151.97
  5. Step 5: Solve for x
    x = 905,998,151.97/33,652.23
  6. Step 6: Final answer
    x = 26,922.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.