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Finding the Fourth Proportional to 32,584.25, 44,971.10 and 20,648.70

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Solution

The fourth proportional to 32,584.25, 44,971.10 and 20,648.70 is: 28,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.25 : 44,971.10 = 20,648.70 : x
  2. Step 2: Convert to fraction form
    32,584.25/44,971.10 = 20,648.70/x
  3. Step 3: Cross multiply
    32,584.25x = 44,971.10 × 20,648.70
  4. Step 4: Simplify right side
    32,584.25x = 928,594,649.33
  5. Step 5: Solve for x
    x = 928,594,649.33/32,584.25
  6. Step 6: Final answer
    x = 28,498.27

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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.