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Finding the Fourth Proportional to 82,003.80, 123,027.30 and 29,407.80

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Solution

The fourth proportional to 82,003.80, 123,027.30 and 29,407.80 is: 44,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.80 : 123,027.30 = 29,407.80 : x
  2. Step 2: Convert to fraction form
    82,003.80/123,027.30 = 29,407.80/x
  3. Step 3: Cross multiply
    82,003.80x = 123,027.30 × 29,407.80
  4. Step 4: Simplify right side
    82,003.80x = 3,617,962,232.94
  5. Step 5: Solve for x
    x = 3,617,962,232.94/82,003.80
  6. Step 6: Final answer
    x = 44,119.45

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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.