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Finding the Fourth Proportional to 82,395.80, 123,592.50 and 26,235.26

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Solution

The fourth proportional to 82,395.80, 123,592.50 and 26,235.26 is: 39,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395.80 : 123,592.50 = 26,235.26 : x
  2. Step 2: Convert to fraction form
    82,395.80/123,592.50 = 26,235.26/x
  3. Step 3: Cross multiply
    82,395.80x = 123,592.50 × 26,235.26
  4. Step 4: Simplify right side
    82,395.80x = 3,242,481,371.55
  5. Step 5: Solve for x
    x = 3,242,481,371.55/82,395.80
  6. Step 6: Final answer
    x = 39,352.51

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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.