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Finding the Fourth Proportional to 29,725.38, 41,021.37 and 16,980.25

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Solution

The fourth proportional to 29,725.38, 41,021.37 and 16,980.25 is: 23,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725.38 : 41,021.37 = 16,980.25 : x
  2. Step 2: Convert to fraction form
    29,725.38/41,021.37 = 16,980.25/x
  3. Step 3: Cross multiply
    29,725.38x = 41,021.37 × 16,980.25
  4. Step 4: Simplify right side
    29,725.38x = 696,553,117.94
  5. Step 5: Solve for x
    x = 696,553,117.94/29,725.38
  6. Step 6: Final answer
    x = 23,432.94

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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.