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Finding the Fourth Proportional to 27,847.68, 41,750.88 and 10,314.24

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Solution

The fourth proportional to 27,847.68, 41,750.88 and 10,314.24 is: 15,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.68 : 41,750.88 = 10,314.24 : x
  2. Step 2: Convert to fraction form
    27,847.68/41,750.88 = 10,314.24/x
  3. Step 3: Cross multiply
    27,847.68x = 41,750.88 × 10,314.24
  4. Step 4: Simplify right side
    27,847.68x = 430,628,596.53
  5. Step 5: Solve for x
    x = 430,628,596.53/27,847.68
  6. Step 6: Final answer
    x = 15,463.72

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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.