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Finding the Fourth Proportional to 76,179.57, 105,179.76 and 47,510.43

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Solution

The fourth proportional to 76,179.57, 105,179.76 and 47,510.43 is: 65,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,179.57 : 105,179.76 = 47,510.43 : x
  2. Step 2: Convert to fraction form
    76,179.57/105,179.76 = 47,510.43/x
  3. Step 3: Cross multiply
    76,179.57x = 105,179.76 × 47,510.43
  4. Step 4: Simplify right side
    76,179.57x = 4,997,135,624.90
  5. Step 5: Solve for x
    x = 4,997,135,624.90/76,179.57
  6. Step 6: Final answer
    x = 65,596.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.