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Finding the Fourth Proportional to 33,821.40, 50,732.10 and 15,353.40

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Solution

The fourth proportional to 33,821.40, 50,732.10 and 15,353.40 is: 23,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.40 : 50,732.10 = 15,353.40 : x
  2. Step 2: Convert to fraction form
    33,821.40/50,732.10 = 15,353.40/x
  3. Step 3: Cross multiply
    33,821.40x = 50,732.10 × 15,353.40
  4. Step 4: Simplify right side
    33,821.40x = 778,910,224.14
  5. Step 5: Solve for x
    x = 778,910,224.14/33,821.40
  6. Step 6: Final answer
    x = 23,030.10

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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.