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Finding the Fourth Proportional to 23,039, 31,782.66 and 20,050.10

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Solution

The fourth proportional to 23,039, 31,782.66 and 20,050.10 is: 27,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,039 : 31,782.66 = 20,050.10 : x
  2. Step 2: Convert to fraction form
    23,039/31,782.66 = 20,050.10/x
  3. Step 3: Cross multiply
    23,039x = 31,782.66 × 20,050.10
  4. Step 4: Simplify right side
    23,039x = 637,245,511.27
  5. Step 5: Solve for x
    x = 637,245,511.27/23,039
  6. Step 6: Final answer
    x = 27,659.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.