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Finding the Fourth Proportional to 47,783.50, 71,672.41 and 14,503.84

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Solution

The fourth proportional to 47,783.50, 71,672.41 and 14,503.84 is: 21,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.50 : 71,672.41 = 14,503.84 : x
  2. Step 2: Convert to fraction form
    47,783.50/71,672.41 = 14,503.84/x
  3. Step 3: Cross multiply
    47,783.50x = 71,672.41 × 14,503.84
  4. Step 4: Simplify right side
    47,783.50x = 1,039,525,167.05
  5. Step 5: Solve for x
    x = 1,039,525,167.05/47,783.50
  6. Step 6: Final answer
    x = 21,754.90

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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.