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Finding the Fourth Proportional to 32,984.84, 45,514.22 and 20,057.52

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Solution

The fourth proportional to 32,984.84, 45,514.22 and 20,057.52 is: 27,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.84 : 45,514.22 = 20,057.52 : x
  2. Step 2: Convert to fraction form
    32,984.84/45,514.22 = 20,057.52/x
  3. Step 3: Cross multiply
    32,984.84x = 45,514.22 × 20,057.52
  4. Step 4: Simplify right side
    32,984.84x = 912,902,377.93
  5. Step 5: Solve for x
    x = 912,902,377.93/32,984.84
  6. Step 6: Final answer
    x = 27,676.42

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