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Finding the Fourth Proportional to 30,005, 41,406.90 and 16,757

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Solution

The fourth proportional to 30,005, 41,406.90 and 16,757 is: 23,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005 : 41,406.90 = 16,757 : x
  2. Step 2: Convert to fraction form
    30,005/41,406.90 = 16,757/x
  3. Step 3: Cross multiply
    30,005x = 41,406.90 × 16,757
  4. Step 4: Simplify right side
    30,005x = 693,855,423.30
  5. Step 5: Solve for x
    x = 693,855,423.30/30,005
  6. Step 6: Final answer
    x = 23,124.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.