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Finding the Fourth Proportional to 32,207.50, 44,431.23 and 22,781.26

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Solution

The fourth proportional to 32,207.50, 44,431.23 and 22,781.26 is: 31,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.50 : 44,431.23 = 22,781.26 : x
  2. Step 2: Convert to fraction form
    32,207.50/44,431.23 = 22,781.26/x
  3. Step 3: Cross multiply
    32,207.50x = 44,431.23 × 22,781.26
  4. Step 4: Simplify right side
    32,207.50x = 1,012,199,402.75
  5. Step 5: Solve for x
    x = 1,012,199,402.75/32,207.50
  6. Step 6: Final answer
    x = 31,427.44

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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.