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Finding the Fourth Proportional to 82,202.52, 123,303 and 26,042.48

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Solution

The fourth proportional to 82,202.52, 123,303 and 26,042.48 is: 39,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,202.52 : 123,303 = 26,042.48 : x
  2. Step 2: Convert to fraction form
    82,202.52/123,303 = 26,042.48/x
  3. Step 3: Cross multiply
    82,202.52x = 123,303 × 26,042.48
  4. Step 4: Simplify right side
    82,202.52x = 3,211,115,911.44
  5. Step 5: Solve for x
    x = 3,211,115,911.44/82,202.52
  6. Step 6: Final answer
    x = 39,063.47

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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.