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Finding the Fourth Proportional to 33,438.50, 46,145.21 and 18,534.50

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Solution

The fourth proportional to 33,438.50, 46,145.21 and 18,534.50 is: 25,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438.50 : 46,145.21 = 18,534.50 : x
  2. Step 2: Convert to fraction form
    33,438.50/46,145.21 = 18,534.50/x
  3. Step 3: Cross multiply
    33,438.50x = 46,145.21 × 18,534.50
  4. Step 4: Simplify right side
    33,438.50x = 855,278,394.75
  5. Step 5: Solve for x
    x = 855,278,394.75/33,438.50
  6. Step 6: Final answer
    x = 25,577.65

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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.