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Finding the Fourth Proportional to 33,765, 50,518.98 and 20,388.74

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Solution

The fourth proportional to 33,765, 50,518.98 and 20,388.74 is: 30,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,765 : 50,518.98 = 20,388.74 : x
  2. Step 2: Convert to fraction form
    33,765/50,518.98 = 20,388.74/x
  3. Step 3: Cross multiply
    33,765x = 50,518.98 × 20,388.74
  4. Step 4: Simplify right side
    33,765x = 1,030,018,348.29
  5. Step 5: Solve for x
    x = 1,030,018,348.29/33,765
  6. Step 6: Final answer
    x = 30,505.50

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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.