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Finding the Fourth Proportional to 46,378.44, 69,509.34 and 33,256.44

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Solution

The fourth proportional to 46,378.44, 69,509.34 and 33,256.44 is: 49,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,378.44 : 69,509.34 = 33,256.44 : x
  2. Step 2: Convert to fraction form
    46,378.44/69,509.34 = 33,256.44/x
  3. Step 3: Cross multiply
    46,378.44x = 69,509.34 × 33,256.44
  4. Step 4: Simplify right side
    46,378.44x = 2,311,633,195.15
  5. Step 5: Solve for x
    x = 2,311,633,195.15/46,378.44
  6. Step 6: Final answer
    x = 49,842.84

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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.