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Finding the Fourth Proportional to 82,499.40, 123,684.30 and 45,563.40

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Solution

The fourth proportional to 82,499.40, 123,684.30 and 45,563.40 is: 68,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,499.40 : 123,684.30 = 45,563.40 : x
  2. Step 2: Convert to fraction form
    82,499.40/123,684.30 = 45,563.40/x
  3. Step 3: Cross multiply
    82,499.40x = 123,684.30 × 45,563.40
  4. Step 4: Simplify right side
    82,499.40x = 5,635,477,234.62
  5. Step 5: Solve for x
    x = 5,635,477,234.62/82,499.40
  6. Step 6: Final answer
    x = 68,309.31

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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.