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Finding the Fourth Proportional to 30,125.86, 41,573.79 and 16,697.34

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Solution

The fourth proportional to 30,125.86, 41,573.79 and 16,697.34 is: 23,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,125.86 : 41,573.79 = 16,697.34 : x
  2. Step 2: Convert to fraction form
    30,125.86/41,573.79 = 16,697.34/x
  3. Step 3: Cross multiply
    30,125.86x = 41,573.79 × 16,697.34
  4. Step 4: Simplify right side
    30,125.86x = 694,171,706.72
  5. Step 5: Solve for x
    x = 694,171,706.72/30,125.86
  6. Step 6: Final answer
    x = 23,042.39

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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.