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Finding the Fourth Proportional to 41,718, 62,577 and 14,016

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Solution

The fourth proportional to 41,718, 62,577 and 14,016 is: 21,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,718 : 62,577 = 14,016 : x
  2. Step 2: Convert to fraction form
    41,718/62,577 = 14,016/x
  3. Step 3: Cross multiply
    41,718x = 62,577 × 14,016
  4. Step 4: Simplify right side
    41,718x = 877,079,232
  5. Step 5: Solve for x
    x = 877,079,232/41,718
  6. Step 6: Final answer
    x = 21,024

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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.