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Finding the Fourth Proportional to 32,441.50, 44,769.27 and 17,537.50

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Solution

The fourth proportional to 32,441.50, 44,769.27 and 17,537.50 is: 24,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.50 : 44,769.27 = 17,537.50 : x
  2. Step 2: Convert to fraction form
    32,441.50/44,769.27 = 17,537.50/x
  3. Step 3: Cross multiply
    32,441.50x = 44,769.27 × 17,537.50
  4. Step 4: Simplify right side
    32,441.50x = 785,141,072.63
  5. Step 5: Solve for x
    x = 785,141,072.63/32,441.50
  6. Step 6: Final answer
    x = 24,201.75

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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.