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Finding the Fourth Proportional to 69,189, 103,783.50 and 22,441.88

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Solution

The fourth proportional to 69,189, 103,783.50 and 22,441.88 is: 33,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189 : 103,783.50 = 22,441.88 : x
  2. Step 2: Convert to fraction form
    69,189/103,783.50 = 22,441.88/x
  3. Step 3: Cross multiply
    69,189x = 103,783.50 × 22,441.88
  4. Step 4: Simplify right side
    69,189x = 2,329,096,852.98
  5. Step 5: Solve for x
    x = 2,329,096,852.98/69,189
  6. Step 6: Final answer
    x = 33,662.82

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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.