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Finding the Fourth Proportional to 76,676.50, 105,815.92 and 41,753.46

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Solution

The fourth proportional to 76,676.50, 105,815.92 and 41,753.46 is: 57,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.50 : 105,815.92 = 41,753.46 : x
  2. Step 2: Convert to fraction form
    76,676.50/105,815.92 = 41,753.46/x
  3. Step 3: Cross multiply
    76,676.50x = 105,815.92 × 41,753.46
  4. Step 4: Simplify right side
    76,676.50x = 4,418,180,783.08
  5. Step 5: Solve for x
    x = 4,418,180,783.08/76,676.50
  6. Step 6: Final answer
    x = 57,621.05

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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.