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Finding the Fourth Proportional to 51,112, 76,668.69 and 16,051.66

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Solution

The fourth proportional to 51,112, 76,668.69 and 16,051.66 is: 24,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,112 : 76,668.69 = 16,051.66 : x
  2. Step 2: Convert to fraction form
    51,112/76,668.69 = 16,051.66/x
  3. Step 3: Cross multiply
    51,112x = 76,668.69 × 16,051.66
  4. Step 4: Simplify right side
    51,112x = 1,230,659,744.53
  5. Step 5: Solve for x
    x = 1,230,659,744.53/51,112
  6. Step 6: Final answer
    x = 24,077.71

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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.