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Finding the Fourth Proportional to 29,419, 40,598.22 and 16,171

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Solution

The fourth proportional to 29,419, 40,598.22 and 16,171 is: 22,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,419 : 40,598.22 = 16,171 : x
  2. Step 2: Convert to fraction form
    29,419/40,598.22 = 16,171/x
  3. Step 3: Cross multiply
    29,419x = 40,598.22 × 16,171
  4. Step 4: Simplify right side
    29,419x = 656,513,815.62
  5. Step 5: Solve for x
    x = 656,513,815.62/29,419
  6. Step 6: Final answer
    x = 22,315.98

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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.