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Finding the Fourth Proportional to 49,814, 74,732.84 and 16,982

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Solution

The fourth proportional to 49,814, 74,732.84 and 16,982 is: 25,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814 : 74,732.84 = 16,982 : x
  2. Step 2: Convert to fraction form
    49,814/74,732.84 = 16,982/x
  3. Step 3: Cross multiply
    49,814x = 74,732.84 × 16,982
  4. Step 4: Simplify right side
    49,814x = 1,269,113,088.88
  5. Step 5: Solve for x
    x = 1,269,113,088.88/49,814
  6. Step 6: Final answer
    x = 25,477.04

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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.