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Finding the Fourth Proportional to 33,836.40, 50,657.40 and 30,337.20

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Solution

The fourth proportional to 33,836.40, 50,657.40 and 30,337.20 is: 45,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836.40 : 50,657.40 = 30,337.20 : x
  2. Step 2: Convert to fraction form
    33,836.40/50,657.40 = 30,337.20/x
  3. Step 3: Cross multiply
    33,836.40x = 50,657.40 × 30,337.20
  4. Step 4: Simplify right side
    33,836.40x = 1,536,803,675.28
  5. Step 5: Solve for x
    x = 1,536,803,675.28/33,836.40
  6. Step 6: Final answer
    x = 45,418.65

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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.