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Finding the Fourth Proportional to 55,498, 83,247 and 16,586

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Solution

The fourth proportional to 55,498, 83,247 and 16,586 is: 24,879

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,498 : 83,247 = 16,586 : x
  2. Step 2: Convert to fraction form
    55,498/83,247 = 16,586/x
  3. Step 3: Cross multiply
    55,498x = 83,247 × 16,586
  4. Step 4: Simplify right side
    55,498x = 1,380,734,742
  5. Step 5: Solve for x
    x = 1,380,734,742/55,498
  6. Step 6: Final answer
    x = 24,879

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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.