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Finding the Fourth Proportional to 41,647, 62,470.56 and 17,023

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Solution

The fourth proportional to 41,647, 62,470.56 and 17,023 is: 25,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,647 : 62,470.56 = 17,023 : x
  2. Step 2: Convert to fraction form
    41,647/62,470.56 = 17,023/x
  3. Step 3: Cross multiply
    41,647x = 62,470.56 × 17,023
  4. Step 4: Simplify right side
    41,647x = 1,063,436,342.88
  5. Step 5: Solve for x
    x = 1,063,436,342.88/41,647
  6. Step 6: Final answer
    x = 25,534.52

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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.