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Finding the Fourth Proportional to 51,796.48, 71,424 and 33,907.20

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Solution

The fourth proportional to 51,796.48, 71,424 and 33,907.20 is: 46,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,796.48 : 71,424 = 33,907.20 : x
  2. Step 2: Convert to fraction form
    51,796.48/71,424 = 33,907.20/x
  3. Step 3: Cross multiply
    51,796.48x = 71,424 × 33,907.20
  4. Step 4: Simplify right side
    51,796.48x = 2,421,787,852.80
  5. Step 5: Solve for x
    x = 2,421,787,852.80/51,796.48
  6. Step 6: Final answer
    x = 46,755.84

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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.