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Finding the Fourth Proportional to 68,470.96, 102,638.40 and 47,650.72

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Solution

The fourth proportional to 68,470.96, 102,638.40 and 47,650.72 is: 71,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,470.96 : 102,638.40 = 47,650.72 : x
  2. Step 2: Convert to fraction form
    68,470.96/102,638.40 = 47,650.72/x
  3. Step 3: Cross multiply
    68,470.96x = 102,638.40 × 47,650.72
  4. Step 4: Simplify right side
    68,470.96x = 4,890,793,659.65
  5. Step 5: Solve for x
    x = 4,890,793,659.65/68,470.96
  6. Step 6: Final answer
    x = 71,428.73

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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.