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Finding the Fourth Proportional to 33,470.96, 50,211.14 and 9,780.24

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Solution

The fourth proportional to 33,470.96, 50,211.14 and 9,780.24 is: 14,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,470.96 : 50,211.14 = 9,780.24 : x
  2. Step 2: Convert to fraction form
    33,470.96/50,211.14 = 9,780.24/x
  3. Step 3: Cross multiply
    33,470.96x = 50,211.14 × 9,780.24
  4. Step 4: Simplify right side
    33,470.96x = 491,076,950.97
  5. Step 5: Solve for x
    x = 491,076,950.97/33,470.96
  6. Step 6: Final answer
    x = 14,671.73

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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.