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Finding the Fourth Proportional to 51,448.78, 70,978.30 and 33,537.25

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Solution

The fourth proportional to 51,448.78, 70,978.30 and 33,537.25 is: 46,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,448.78 : 70,978.30 = 33,537.25 : x
  2. Step 2: Convert to fraction form
    51,448.78/70,978.30 = 33,537.25/x
  3. Step 3: Cross multiply
    51,448.78x = 70,978.30 × 33,537.25
  4. Step 4: Simplify right side
    51,448.78x = 2,380,416,991.68
  5. Step 5: Solve for x
    x = 2,380,416,991.68/51,448.78
  6. Step 6: Final answer
    x = 46,267.71

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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.