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Finding the Fourth Proportional to 32,467.50, 44,805.15 and 17,563.50

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Solution

The fourth proportional to 32,467.50, 44,805.15 and 17,563.50 is: 24,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.50 : 44,805.15 = 17,563.50 : x
  2. Step 2: Convert to fraction form
    32,467.50/44,805.15 = 17,563.50/x
  3. Step 3: Cross multiply
    32,467.50x = 44,805.15 × 17,563.50
  4. Step 4: Simplify right side
    32,467.50x = 786,935,252.03
  5. Step 5: Solve for x
    x = 786,935,252.03/32,467.50
  6. Step 6: Final answer
    x = 24,237.63

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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.