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Finding the Fourth Proportional to 29,031.63, 40,063.37 and 16,456.38

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Solution

The fourth proportional to 29,031.63, 40,063.37 and 16,456.38 is: 22,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,031.63 : 40,063.37 = 16,456.38 : x
  2. Step 2: Convert to fraction form
    29,031.63/40,063.37 = 16,456.38/x
  3. Step 3: Cross multiply
    29,031.63x = 40,063.37 × 16,456.38
  4. Step 4: Simplify right side
    29,031.63x = 659,298,040.80
  5. Step 5: Solve for x
    x = 659,298,040.80/29,031.63
  6. Step 6: Final answer
    x = 22,709.65

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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.