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Finding the Fourth Proportional to 51,257.81, 76,898 and 15,724.02

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Solution

The fourth proportional to 51,257.81, 76,898 and 15,724.02 is: 23,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.81 : 76,898 = 15,724.02 : x
  2. Step 2: Convert to fraction form
    51,257.81/76,898 = 15,724.02/x
  3. Step 3: Cross multiply
    51,257.81x = 76,898 × 15,724.02
  4. Step 4: Simplify right side
    51,257.81x = 1,209,145,689.96
  5. Step 5: Solve for x
    x = 1,209,145,689.96/51,257.81
  6. Step 6: Final answer
    x = 23,589.49

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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.