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Finding the Fourth Proportional to 32,049.96, 48,077.98 and 8,676.52

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Solution

The fourth proportional to 32,049.96, 48,077.98 and 8,676.52 is: 13,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.96 : 48,077.98 = 8,676.52 : x
  2. Step 2: Convert to fraction form
    32,049.96/48,077.98 = 8,676.52/x
  3. Step 3: Cross multiply
    32,049.96x = 48,077.98 × 8,676.52
  4. Step 4: Simplify right side
    32,049.96x = 417,149,555.03
  5. Step 5: Solve for x
    x = 417,149,555.03/32,049.96
  6. Step 6: Final answer
    x = 13,015.60

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1.5x scale

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.