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Finding the Fourth Proportional to 29,429, 40,612.02 and 16,181

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Solution

The fourth proportional to 29,429, 40,612.02 and 16,181 is: 22,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,429 : 40,612.02 = 16,181 : x
  2. Step 2: Convert to fraction form
    29,429/40,612.02 = 16,181/x
  3. Step 3: Cross multiply
    29,429x = 40,612.02 × 16,181
  4. Step 4: Simplify right side
    29,429x = 657,143,095.62
  5. Step 5: Solve for x
    x = 657,143,095.62/29,429
  6. Step 6: Final answer
    x = 22,329.78

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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.