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Finding the Fourth Proportional to 33,907.92, 46,807.56 and 31,782.48

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Solution

The fourth proportional to 33,907.92, 46,807.56 and 31,782.48 is: 43,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,907.92 : 46,807.56 = 31,782.48 : x
  2. Step 2: Convert to fraction form
    33,907.92/46,807.56 = 31,782.48/x
  3. Step 3: Cross multiply
    33,907.92x = 46,807.56 × 31,782.48
  4. Step 4: Simplify right side
    33,907.92x = 1,487,660,339.55
  5. Step 5: Solve for x
    x = 1,487,660,339.55/33,907.92
  6. Step 6: Final answer
    x = 43,873.54

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