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Finding the Fourth Proportional to 82,320.57, 123,485.31 and 26,165.16

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Solution

The fourth proportional to 82,320.57, 123,485.31 and 26,165.16 is: 39,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,320.57 : 123,485.31 = 26,165.16 : x
  2. Step 2: Convert to fraction form
    82,320.57/123,485.31 = 26,165.16/x
  3. Step 3: Cross multiply
    82,320.57x = 123,485.31 × 26,165.16
  4. Step 4: Simplify right side
    82,320.57x = 3,231,012,893.80
  5. Step 5: Solve for x
    x = 3,231,012,893.80/82,320.57
  6. Step 6: Final answer
    x = 39,249.16

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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.