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Finding the Fourth Proportional to 54,837.61, 82,231.81 and 25,239.30

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Solution

The fourth proportional to 54,837.61, 82,231.81 and 25,239.30 is: 37,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837.61 : 82,231.81 = 25,239.30 : x
  2. Step 2: Convert to fraction form
    54,837.61/82,231.81 = 25,239.30/x
  3. Step 3: Cross multiply
    54,837.61x = 82,231.81 × 25,239.30
  4. Step 4: Simplify right side
    54,837.61x = 2,075,472,950.67
  5. Step 5: Solve for x
    x = 2,075,472,950.67/54,837.61
  6. Step 6: Final answer
    x = 37,847.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.