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Finding the Fourth Proportional to 34,104, 51,156 and 9,480

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Solution

The fourth proportional to 34,104, 51,156 and 9,480 is: 14,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,104 : 51,156 = 9,480 : x
  2. Step 2: Convert to fraction form
    34,104/51,156 = 9,480/x
  3. Step 3: Cross multiply
    34,104x = 51,156 × 9,480
  4. Step 4: Simplify right side
    34,104x = 484,958,880
  5. Step 5: Solve for x
    x = 484,958,880/34,104
  6. Step 6: Final answer
    x = 14,220

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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.