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Finding the Fourth Proportional to 82,051.50, 123,089.13 and 25,872.54

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Solution

The fourth proportional to 82,051.50, 123,089.13 and 25,872.54 is: 38,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051.50 : 123,089.13 = 25,872.54 : x
  2. Step 2: Convert to fraction form
    82,051.50/123,089.13 = 25,872.54/x
  3. Step 3: Cross multiply
    82,051.50x = 123,089.13 × 25,872.54
  4. Step 4: Simplify right side
    82,051.50x = 3,184,628,439.49
  5. Step 5: Solve for x
    x = 3,184,628,439.49/82,051.50
  6. Step 6: Final answer
    x = 38,812.56

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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.