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Finding the Fourth Proportional to 41,648, 62,480.64 and 17,024

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Solution

The fourth proportional to 41,648, 62,480.64 and 17,024 is: 25,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,648 : 62,480.64 = 17,024 : x
  2. Step 2: Convert to fraction form
    41,648/62,480.64 = 17,024/x
  3. Step 3: Cross multiply
    41,648x = 62,480.64 × 17,024
  4. Step 4: Simplify right side
    41,648x = 1,063,670,415.36
  5. Step 5: Solve for x
    x = 1,063,670,415.36/41,648
  6. Step 6: Final answer
    x = 25,539.53

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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.