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Finding the Fourth Proportional to 32,442.36, 44,770.50 and 17,538.36

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Solution

The fourth proportional to 32,442.36, 44,770.50 and 17,538.36 is: 24,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.36 : 44,770.50 = 17,538.36 : x
  2. Step 2: Convert to fraction form
    32,442.36/44,770.50 = 17,538.36/x
  3. Step 3: Cross multiply
    32,442.36x = 44,770.50 × 17,538.36
  4. Step 4: Simplify right side
    32,442.36x = 785,201,146.38
  5. Step 5: Solve for x
    x = 785,201,146.38/32,442.36
  6. Step 6: Final answer
    x = 24,202.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.