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Finding the Fourth Proportional to 32,310.94, 48,462.66 and 8,939.20

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Solution

The fourth proportional to 32,310.94, 48,462.66 and 8,939.20 is: 13,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310.94 : 48,462.66 = 8,939.20 : x
  2. Step 2: Convert to fraction form
    32,310.94/48,462.66 = 8,939.20/x
  3. Step 3: Cross multiply
    32,310.94x = 48,462.66 × 8,939.20
  4. Step 4: Simplify right side
    32,310.94x = 433,217,410.27
  5. Step 5: Solve for x
    x = 433,217,410.27/32,310.94
  6. Step 6: Final answer
    x = 13,407.76

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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.