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Finding the Fourth Proportional to 69,204.94, 103,770.50 and 35,842.25

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Solution

The fourth proportional to 69,204.94, 103,770.50 and 35,842.25 is: 53,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204.94 : 103,770.50 = 35,842.25 : x
  2. Step 2: Convert to fraction form
    69,204.94/103,770.50 = 35,842.25/x
  3. Step 3: Cross multiply
    69,204.94x = 103,770.50 × 35,842.25
  4. Step 4: Simplify right side
    69,204.94x = 3,719,368,283.84
  5. Step 5: Solve for x
    x = 3,719,368,283.84/69,204.94
  6. Step 6: Final answer
    x = 53,744.26

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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.