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Finding the Fourth Proportional to 32,309.41, 48,456.02 and 22,922.05

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Solution

The fourth proportional to 32,309.41, 48,456.02 and 22,922.05 is: 34,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.41 : 48,456.02 = 22,922.05 : x
  2. Step 2: Convert to fraction form
    32,309.41/48,456.02 = 22,922.05/x
  3. Step 3: Cross multiply
    32,309.41x = 48,456.02 × 22,922.05
  4. Step 4: Simplify right side
    32,309.41x = 1,110,711,198.63
  5. Step 5: Solve for x
    x = 1,110,711,198.63/32,309.41
  6. Step 6: Final answer
    x = 34,377.33

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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.