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Finding the Fourth Proportional to 82,246.54, 123,381.56 and 25,325.25

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Solution

The fourth proportional to 82,246.54, 123,381.56 and 25,325.25 is: 37,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246.54 : 123,381.56 = 25,325.25 : x
  2. Step 2: Convert to fraction form
    82,246.54/123,381.56 = 25,325.25/x
  3. Step 3: Cross multiply
    82,246.54x = 123,381.56 × 25,325.25
  4. Step 4: Simplify right side
    82,246.54x = 3,124,669,006.87
  5. Step 5: Solve for x
    x = 3,124,669,006.87/82,246.54
  6. Step 6: Final answer
    x = 37,991.50

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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.