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Finding the Fourth Proportional to 89,125.20, 133,676.28 and 33,714

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Solution

The fourth proportional to 89,125.20, 133,676.28 and 33,714 is: 50,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,125.20 : 133,676.28 = 33,714 : x
  2. Step 2: Convert to fraction form
    89,125.20/133,676.28 = 33,714/x
  3. Step 3: Cross multiply
    89,125.20x = 133,676.28 × 33,714
  4. Step 4: Simplify right side
    89,125.20x = 4,506,762,103.92
  5. Step 5: Solve for x
    x = 4,506,762,103.92/89,125.20
  6. Step 6: Final answer
    x = 50,566.64

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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.