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Finding the Fourth Proportional to 69,461, 104,208.78 and 20,213

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Solution

The fourth proportional to 69,461, 104,208.78 and 20,213 is: 30,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,461 : 104,208.78 = 20,213 : x
  2. Step 2: Convert to fraction form
    69,461/104,208.78 = 20,213/x
  3. Step 3: Cross multiply
    69,461x = 104,208.78 × 20,213
  4. Step 4: Simplify right side
    69,461x = 2,106,372,070.14
  5. Step 5: Solve for x
    x = 2,106,372,070.14/69,461
  6. Step 6: Final answer
    x = 30,324.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.