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Finding the Fourth Proportional to 32,778.50, 45,238.21 and 18,633.47

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Solution

The fourth proportional to 32,778.50, 45,238.21 and 18,633.47 is: 25,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.50 : 45,238.21 = 18,633.47 : x
  2. Step 2: Convert to fraction form
    32,778.50/45,238.21 = 18,633.47/x
  3. Step 3: Cross multiply
    32,778.50x = 45,238.21 × 18,633.47
  4. Step 4: Simplify right side
    32,778.50x = 842,944,828.89
  5. Step 5: Solve for x
    x = 842,944,828.89/32,778.50
  6. Step 6: Final answer
    x = 25,716.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.