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Finding the Fourth Proportional to 79,968, 119,952 and 24,564

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Solution

The fourth proportional to 79,968, 119,952 and 24,564 is: 36,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,968 : 119,952 = 24,564 : x
  2. Step 2: Convert to fraction form
    79,968/119,952 = 24,564/x
  3. Step 3: Cross multiply
    79,968x = 119,952 × 24,564
  4. Step 4: Simplify right side
    79,968x = 2,946,500,928
  5. Step 5: Solve for x
    x = 2,946,500,928/79,968
  6. Step 6: Final answer
    x = 36,846

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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.