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Finding the Fourth Proportional to 47,975.76, 71,963.63 and 12,914.50

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Solution

The fourth proportional to 47,975.76, 71,963.63 and 12,914.50 is: 19,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975.76 : 71,963.63 = 12,914.50 : x
  2. Step 2: Convert to fraction form
    47,975.76/71,963.63 = 12,914.50/x
  3. Step 3: Cross multiply
    47,975.76x = 71,963.63 × 12,914.50
  4. Step 4: Simplify right side
    47,975.76x = 929,374,299.64
  5. Step 5: Solve for x
    x = 929,374,299.64/47,975.76
  6. Step 6: Final answer
    x = 19,371.75

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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.