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Finding the Fourth Proportional to 32,442.25, 44,770.37 and 17,538.25

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Solution

The fourth proportional to 32,442.25, 44,770.37 and 17,538.25 is: 24,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.25 : 44,770.37 = 17,538.25 : x
  2. Step 2: Convert to fraction form
    32,442.25/44,770.37 = 17,538.25/x
  3. Step 3: Cross multiply
    32,442.25x = 44,770.37 × 17,538.25
  4. Step 4: Simplify right side
    32,442.25x = 785,193,853.96
  5. Step 5: Solve for x
    x = 785,193,853.96/32,442.25
  6. Step 6: Final answer
    x = 24,202.82

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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.