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Finding the Fourth Proportional to 37,640, 56,460 and 13,016

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Solution

The fourth proportional to 37,640, 56,460 and 13,016 is: 19,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640 : 56,460 = 13,016 : x
  2. Step 2: Convert to fraction form
    37,640/56,460 = 13,016/x
  3. Step 3: Cross multiply
    37,640x = 56,460 × 13,016
  4. Step 4: Simplify right side
    37,640x = 734,883,360
  5. Step 5: Solve for x
    x = 734,883,360/37,640
  6. Step 6: Final answer
    x = 19,524

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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.