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Finding the Fourth Proportional to 51,253, 76,888.79 and 23,186.27

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Solution

The fourth proportional to 51,253, 76,888.79 and 23,186.27 is: 34,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,253 : 76,888.79 = 23,186.27 : x
  2. Step 2: Convert to fraction form
    51,253/76,888.79 = 23,186.27/x
  3. Step 3: Cross multiply
    51,253x = 76,888.79 × 23,186.27
  4. Step 4: Simplify right side
    51,253x = 1,782,764,244.91
  5. Step 5: Solve for x
    x = 1,782,764,244.91/51,253
  6. Step 6: Final answer
    x = 34,783.61

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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.