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Finding the Fourth Proportional to 82,643.80, 123,983.10 and 43,190.32

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Solution

The fourth proportional to 82,643.80, 123,983.10 and 43,190.32 is: 64,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,643.80 : 123,983.10 = 43,190.32 : x
  2. Step 2: Convert to fraction form
    82,643.80/123,983.10 = 43,190.32/x
  3. Step 3: Cross multiply
    82,643.80x = 123,983.10 × 43,190.32
  4. Step 4: Simplify right side
    82,643.80x = 5,354,869,763.59
  5. Step 5: Solve for x
    x = 5,354,869,763.59/82,643.80
  6. Step 6: Final answer
    x = 64,794.57

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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.