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Finding the Fourth Proportional to 30,048, 41,468.16 and 16,800

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Solution

The fourth proportional to 30,048, 41,468.16 and 16,800 is: 23,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048 : 41,468.16 = 16,800 : x
  2. Step 2: Convert to fraction form
    30,048/41,468.16 = 16,800/x
  3. Step 3: Cross multiply
    30,048x = 41,468.16 × 16,800
  4. Step 4: Simplify right side
    30,048x = 696,665,088
  5. Step 5: Solve for x
    x = 696,665,088/30,048
  6. Step 6: Final answer
    x = 23,185.07

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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.