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Finding the Fourth Proportional to 49,321.32, 73,982.04 and 12,385.32

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Solution

The fourth proportional to 49,321.32, 73,982.04 and 12,385.32 is: 18,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321.32 : 73,982.04 = 12,385.32 : x
  2. Step 2: Convert to fraction form
    49,321.32/73,982.04 = 12,385.32/x
  3. Step 3: Cross multiply
    49,321.32x = 73,982.04 × 12,385.32
  4. Step 4: Simplify right side
    49,321.32x = 916,291,239.65
  5. Step 5: Solve for x
    x = 916,291,239.65/49,321.32
  6. Step 6: Final answer
    x = 18,578.00

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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.