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Finding the Fourth Proportional to 29,171.63, 40,257.05 and 16,596.38

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Solution

The fourth proportional to 29,171.63, 40,257.05 and 16,596.38 is: 22,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,171.63 : 40,257.05 = 16,596.38 : x
  2. Step 2: Convert to fraction form
    29,171.63/40,257.05 = 16,596.38/x
  3. Step 3: Cross multiply
    29,171.63x = 40,257.05 × 16,596.38
  4. Step 4: Simplify right side
    29,171.63x = 668,121,015.21
  5. Step 5: Solve for x
    x = 668,121,015.21/29,171.63
  6. Step 6: Final answer
    x = 22,903.11

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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.