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Finding the Fourth Proportional to 29,995, 41,393.12 and 16,747

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Solution

The fourth proportional to 29,995, 41,393.12 and 16,747 is: 23,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,995 : 41,393.12 = 16,747 : x
  2. Step 2: Convert to fraction form
    29,995/41,393.12 = 16,747/x
  3. Step 3: Cross multiply
    29,995x = 41,393.12 × 16,747
  4. Step 4: Simplify right side
    29,995x = 693,210,580.64
  5. Step 5: Solve for x
    x = 693,210,580.64/29,995
  6. Step 6: Final answer
    x = 23,110.87

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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.