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Finding the Fourth Proportional to 49,257.96, 73,871.24 and 15,970.20

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Solution

The fourth proportional to 49,257.96, 73,871.24 and 15,970.20 is: 23,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,257.96 : 73,871.24 = 15,970.20 : x
  2. Step 2: Convert to fraction form
    49,257.96/73,871.24 = 15,970.20/x
  3. Step 3: Cross multiply
    49,257.96x = 73,871.24 × 15,970.20
  4. Step 4: Simplify right side
    49,257.96x = 1,179,738,477.05
  5. Step 5: Solve for x
    x = 1,179,738,477.05/49,257.96
  6. Step 6: Final answer
    x = 23,950.21

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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.