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Finding the Fourth Proportional to 70,676.10, 105,871.02 and 32,671.38

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Solution

The fourth proportional to 70,676.10, 105,871.02 and 32,671.38 is: 48,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.10 : 105,871.02 = 32,671.38 : x
  2. Step 2: Convert to fraction form
    70,676.10/105,871.02 = 32,671.38/x
  3. Step 3: Cross multiply
    70,676.10x = 105,871.02 × 32,671.38
  4. Step 4: Simplify right side
    70,676.10x = 3,458,952,325.41
  5. Step 5: Solve for x
    x = 3,458,952,325.41/70,676.10
  6. Step 6: Final answer
    x = 48,940.91

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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.