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Finding the Fourth Proportional to 41,624, 62,446.08 and 17,000

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Solution

The fourth proportional to 41,624, 62,446.08 and 17,000 is: 25,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,624 : 62,446.08 = 17,000 : x
  2. Step 2: Convert to fraction form
    41,624/62,446.08 = 17,000/x
  3. Step 3: Cross multiply
    41,624x = 62,446.08 × 17,000
  4. Step 4: Simplify right side
    41,624x = 1,061,583,360
  5. Step 5: Solve for x
    x = 1,061,583,360/41,624
  6. Step 6: Final answer
    x = 25,504.12

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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.