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Finding the Fourth Proportional to 30,300, 41,814 and 17,052

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Solution

The fourth proportional to 30,300, 41,814 and 17,052 is: 23,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300 : 41,814 = 17,052 : x
  2. Step 2: Convert to fraction form
    30,300/41,814 = 17,052/x
  3. Step 3: Cross multiply
    30,300x = 41,814 × 17,052
  4. Step 4: Simplify right side
    30,300x = 713,012,328
  5. Step 5: Solve for x
    x = 713,012,328/30,300
  6. Step 6: Final answer
    x = 23,531.76

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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.