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Finding the Fourth Proportional to 51,162.48, 76,754.70 and 28,986.48

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Solution

The fourth proportional to 51,162.48, 76,754.70 and 28,986.48 is: 43,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162.48 : 76,754.70 = 28,986.48 : x
  2. Step 2: Convert to fraction form
    51,162.48/76,754.70 = 28,986.48/x
  3. Step 3: Cross multiply
    51,162.48x = 76,754.70 × 28,986.48
  4. Step 4: Simplify right side
    51,162.48x = 2,224,848,576.46
  5. Step 5: Solve for x
    x = 2,224,848,576.46/51,162.48
  6. Step 6: Final answer
    x = 43,485.94

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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.