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Finding the Fourth Proportional to 69,128.15, 103,692.16 and 19,208.22

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Solution

The fourth proportional to 69,128.15, 103,692.16 and 19,208.22 is: 28,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,128.15 : 103,692.16 = 19,208.22 : x
  2. Step 2: Convert to fraction form
    69,128.15/103,692.16 = 19,208.22/x
  3. Step 3: Cross multiply
    69,128.15x = 103,692.16 × 19,208.22
  4. Step 4: Simplify right side
    69,128.15x = 1,991,741,869.58
  5. Step 5: Solve for x
    x = 1,991,741,869.58/69,128.15
  6. Step 6: Final answer
    x = 28,812.31

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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.