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Finding the Fourth Proportional to 30,000, 41,400 and 16,752

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Solution

The fourth proportional to 30,000, 41,400 and 16,752 is: 23,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000 : 41,400 = 16,752 : x
  2. Step 2: Convert to fraction form
    30,000/41,400 = 16,752/x
  3. Step 3: Cross multiply
    30,000x = 41,400 × 16,752
  4. Step 4: Simplify right side
    30,000x = 693,532,800
  5. Step 5: Solve for x
    x = 693,532,800/30,000
  6. Step 6: Final answer
    x = 23,117.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.