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Finding the Fourth Proportional to 107,576.75, 161,364.89 and 51,246

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Solution

The fourth proportional to 107,576.75, 161,364.89 and 51,246 is: 76,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,576.75 : 161,364.89 = 51,246 : x
  2. Step 2: Convert to fraction form
    107,576.75/161,364.89 = 51,246/x
  3. Step 3: Cross multiply
    107,576.75x = 161,364.89 × 51,246
  4. Step 4: Simplify right side
    107,576.75x = 8,269,305,152.94
  5. Step 5: Solve for x
    x = 8,269,305,152.94/107,576.75
  6. Step 6: Final answer
    x = 76,868.89

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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.