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Finding the Fourth Proportional to 53,498, 80,247 and 16,562

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Solution

The fourth proportional to 53,498, 80,247 and 16,562 is: 24,843

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498 : 80,247 = 16,562 : x
  2. Step 2: Convert to fraction form
    53,498/80,247 = 16,562/x
  3. Step 3: Cross multiply
    53,498x = 80,247 × 16,562
  4. Step 4: Simplify right side
    53,498x = 1,329,050,814
  5. Step 5: Solve for x
    x = 1,329,050,814/53,498
  6. Step 6: Final answer
    x = 24,843

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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.