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Finding the Fourth Proportional to 40,536, 60,804 and 12,834

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Solution

The fourth proportional to 40,536, 60,804 and 12,834 is: 19,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,536 : 60,804 = 12,834 : x
  2. Step 2: Convert to fraction form
    40,536/60,804 = 12,834/x
  3. Step 3: Cross multiply
    40,536x = 60,804 × 12,834
  4. Step 4: Simplify right side
    40,536x = 780,358,536
  5. Step 5: Solve for x
    x = 780,358,536/40,536
  6. Step 6: Final answer
    x = 19,251

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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.