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Finding the Fourth Proportional to 102,676.70, 154,000.65 and 32,563.10

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Solution

The fourth proportional to 102,676.70, 154,000.65 and 32,563.10 is: 48,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,676.70 : 154,000.65 = 32,563.10 : x
  2. Step 2: Convert to fraction form
    102,676.70/154,000.65 = 32,563.10/x
  3. Step 3: Cross multiply
    102,676.70x = 154,000.65 × 32,563.10
  4. Step 4: Simplify right side
    102,676.70x = 5,014,738,566.02
  5. Step 5: Solve for x
    x = 5,014,738,566.02/102,676.70
  6. Step 6: Final answer
    x = 48,840.08

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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.