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Finding the Fourth Proportional to 32,577.50, 44,956.96 and 17,673.50

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Solution

The fourth proportional to 32,577.50, 44,956.96 and 17,673.50 is: 24,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.50 : 44,956.96 = 17,673.50 : x
  2. Step 2: Convert to fraction form
    32,577.50/44,956.96 = 17,673.50/x
  3. Step 3: Cross multiply
    32,577.50x = 44,956.96 × 17,673.50
  4. Step 4: Simplify right side
    32,577.50x = 794,546,832.56
  5. Step 5: Solve for x
    x = 794,546,832.56/32,577.50
  6. Step 6: Final answer
    x = 24,389.44

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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.