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Finding the Fourth Proportional to 67,209, 100,813.50 and 23,433

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Solution

The fourth proportional to 67,209, 100,813.50 and 23,433 is: 35,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,209 : 100,813.50 = 23,433 : x
  2. Step 2: Convert to fraction form
    67,209/100,813.50 = 23,433/x
  3. Step 3: Cross multiply
    67,209x = 100,813.50 × 23,433
  4. Step 4: Simplify right side
    67,209x = 2,362,362,745.50
  5. Step 5: Solve for x
    x = 2,362,362,745.50/67,209
  6. Step 6: Final answer
    x = 35,149.50

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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.