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Finding the Fourth Proportional to 33,780.38, 50,670.56 and 9,156.38

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Solution

The fourth proportional to 33,780.38, 50,670.56 and 9,156.38 is: 13,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,780.38 : 50,670.56 = 9,156.38 : x
  2. Step 2: Convert to fraction form
    33,780.38/50,670.56 = 9,156.38/x
  3. Step 3: Cross multiply
    33,780.38x = 50,670.56 × 9,156.38
  4. Step 4: Simplify right side
    33,780.38x = 463,958,671.71
  5. Step 5: Solve for x
    x = 463,958,671.71/33,780.38
  6. Step 6: Final answer
    x = 13,734.56

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