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Finding the Fourth Proportional to 51,672, 77,521 and 14,736

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Solution

The fourth proportional to 51,672, 77,521 and 14,736 is: 22,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672 : 77,521 = 14,736 : x
  2. Step 2: Convert to fraction form
    51,672/77,521 = 14,736/x
  3. Step 3: Cross multiply
    51,672x = 77,521 × 14,736
  4. Step 4: Simplify right side
    51,672x = 1,142,349,456
  5. Step 5: Solve for x
    x = 1,142,349,456/51,672
  6. Step 6: Final answer
    x = 22,107.71

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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.