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Finding the Fourth Proportional to 40,193, 60,289.50 and 15,569

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Solution

The fourth proportional to 40,193, 60,289.50 and 15,569 is: 23,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,193 : 60,289.50 = 15,569 : x
  2. Step 2: Convert to fraction form
    40,193/60,289.50 = 15,569/x
  3. Step 3: Cross multiply
    40,193x = 60,289.50 × 15,569
  4. Step 4: Simplify right side
    40,193x = 938,647,225.50
  5. Step 5: Solve for x
    x = 938,647,225.50/40,193
  6. Step 6: Final answer
    x = 23,353.50

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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.