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Finding the Fourth Proportional to 49,801, 74,714.30 and 16,969

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Solution

The fourth proportional to 49,801, 74,714.30 and 16,969 is: 25,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801 : 74,714.30 = 16,969 : x
  2. Step 2: Convert to fraction form
    49,801/74,714.30 = 16,969/x
  3. Step 3: Cross multiply
    49,801x = 74,714.30 × 16,969
  4. Step 4: Simplify right side
    49,801x = 1,267,826,956.70
  5. Step 5: Solve for x
    x = 1,267,826,956.70/49,801
  6. Step 6: Final answer
    x = 25,457.86

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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.