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Finding the Fourth Proportional to 30,823.89, 42,536.79 and 16,676.43

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Solution

The fourth proportional to 30,823.89, 42,536.79 and 16,676.43 is: 23,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.89 : 42,536.79 = 16,676.43 : x
  2. Step 2: Convert to fraction form
    30,823.89/42,536.79 = 16,676.43/x
  3. Step 3: Cross multiply
    30,823.89x = 42,536.79 × 16,676.43
  4. Step 4: Simplify right side
    30,823.89x = 709,361,800.86
  5. Step 5: Solve for x
    x = 709,361,800.86/30,823.89
  6. Step 6: Final answer
    x = 23,013.38

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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.