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Finding the Fourth Proportional to 55,916, 83,874 and 14,363

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Solution

The fourth proportional to 55,916, 83,874 and 14,363 is: 21,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,916 : 83,874 = 14,363 : x
  2. Step 2: Convert to fraction form
    55,916/83,874 = 14,363/x
  3. Step 3: Cross multiply
    55,916x = 83,874 × 14,363
  4. Step 4: Simplify right side
    55,916x = 1,204,682,262
  5. Step 5: Solve for x
    x = 1,204,682,262/55,916
  6. Step 6: Final answer
    x = 21,544.50

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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.