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Finding the Fourth Proportional to 51,203, 76,817.46 and 14,267

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Solution

The fourth proportional to 51,203, 76,817.46 and 14,267 is: 21,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,203 : 76,817.46 = 14,267 : x
  2. Step 2: Convert to fraction form
    51,203/76,817.46 = 14,267/x
  3. Step 3: Cross multiply
    51,203x = 76,817.46 × 14,267
  4. Step 4: Simplify right side
    51,203x = 1,095,954,701.82
  5. Step 5: Solve for x
    x = 1,095,954,701.82/51,203
  6. Step 6: Final answer
    x = 21,404.11

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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.