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Finding the Fourth Proportional to 32,546.26, 48,763.62 and 17,765.53

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Solution

The fourth proportional to 32,546.26, 48,763.62 and 17,765.53 is: 26,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.26 : 48,763.62 = 17,765.53 : x
  2. Step 2: Convert to fraction form
    32,546.26/48,763.62 = 17,765.53/x
  3. Step 3: Cross multiply
    32,546.26x = 48,763.62 × 17,765.53
  4. Step 4: Simplify right side
    32,546.26x = 866,311,432.11
  5. Step 5: Solve for x
    x = 866,311,432.11/32,546.26
  6. Step 6: Final answer
    x = 26,617.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.