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Finding the Fourth Proportional to 32,238.71, 48,352.49 and 8,546.41

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Solution

The fourth proportional to 32,238.71, 48,352.49 and 8,546.41 is: 12,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.71 : 48,352.49 = 8,546.41 : x
  2. Step 2: Convert to fraction form
    32,238.71/48,352.49 = 8,546.41/x
  3. Step 3: Cross multiply
    32,238.71x = 48,352.49 × 8,546.41
  4. Step 4: Simplify right side
    32,238.71x = 413,239,919.57
  5. Step 5: Solve for x
    x = 413,239,919.57/32,238.71
  6. Step 6: Final answer
    x = 12,818.13

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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.