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Finding the Fourth Proportional to 82,396.08, 123,553.80 and 57,448.08

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Solution

The fourth proportional to 82,396.08, 123,553.80 and 57,448.08 is: 86,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396.08 : 123,553.80 = 57,448.08 : x
  2. Step 2: Convert to fraction form
    82,396.08/123,553.80 = 57,448.08/x
  3. Step 3: Cross multiply
    82,396.08x = 123,553.80 × 57,448.08
  4. Step 4: Simplify right side
    82,396.08x = 7,097,928,586.70
  5. Step 5: Solve for x
    x = 7,097,928,586.70/82,396.08
  6. Step 6: Final answer
    x = 86,144.01

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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.