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Finding the Fourth Proportional to 39,675, 54,751.88 and 21,770.34

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Solution

The fourth proportional to 39,675, 54,751.88 and 21,770.34 is: 30,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675 : 54,751.88 = 21,770.34 : x
  2. Step 2: Convert to fraction form
    39,675/54,751.88 = 21,770.34/x
  3. Step 3: Cross multiply
    39,675x = 54,751.88 × 21,770.34
  4. Step 4: Simplify right side
    39,675x = 1,191,967,043.24
  5. Step 5: Solve for x
    x = 1,191,967,043.24/39,675
  6. Step 6: Final answer
    x = 30,043.28

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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.