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Finding the Fourth Proportional to 33,582.89, 50,323.29 and 16,028.57

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Solution

The fourth proportional to 33,582.89, 50,323.29 and 16,028.57 is: 24,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582.89 : 50,323.29 = 16,028.57 : x
  2. Step 2: Convert to fraction form
    33,582.89/50,323.29 = 16,028.57/x
  3. Step 3: Cross multiply
    33,582.89x = 50,323.29 × 16,028.57
  4. Step 4: Simplify right side
    33,582.89x = 806,610,124.78
  5. Step 5: Solve for x
    x = 806,610,124.78/33,582.89
  6. Step 6: Final answer
    x = 24,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.