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Finding the Fourth Proportional to 29,467, 40,664.54 and 16,219

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Solution

The fourth proportional to 29,467, 40,664.54 and 16,219 is: 22,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467 : 40,664.54 = 16,219 : x
  2. Step 2: Convert to fraction form
    29,467/40,664.54 = 16,219/x
  3. Step 3: Cross multiply
    29,467x = 40,664.54 × 16,219
  4. Step 4: Simplify right side
    29,467x = 659,538,174.26
  5. Step 5: Solve for x
    x = 659,538,174.26/29,467
  6. Step 6: Final answer
    x = 22,382.26

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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.