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Finding the Fourth Proportional to 76,315.44, 114,472 and 23,724.80

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Solution

The fourth proportional to 76,315.44, 114,472 and 23,724.80 is: 35,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,315.44 : 114,472 = 23,724.80 : x
  2. Step 2: Convert to fraction form
    76,315.44/114,472 = 23,724.80/x
  3. Step 3: Cross multiply
    76,315.44x = 114,472 × 23,724.80
  4. Step 4: Simplify right side
    76,315.44x = 2,715,825,305.60
  5. Step 5: Solve for x
    x = 2,715,825,305.60/76,315.44
  6. Step 6: Final answer
    x = 35,586.84

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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.