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Finding the Fourth Proportional to 67,211.50, 100,817.25 and 23,435.50

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Solution

The fourth proportional to 67,211.50, 100,817.25 and 23,435.50 is: 35,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,211.50 : 100,817.25 = 23,435.50 : x
  2. Step 2: Convert to fraction form
    67,211.50/100,817.25 = 23,435.50/x
  3. Step 3: Cross multiply
    67,211.50x = 100,817.25 × 23,435.50
  4. Step 4: Simplify right side
    67,211.50x = 2,362,702,662.38
  5. Step 5: Solve for x
    x = 2,362,702,662.38/67,211.50
  6. Step 6: Final answer
    x = 35,153.25

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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.