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Finding the Fourth Proportional to 32,097.12, 44,296.20 and 17,951.28

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Solution

The fourth proportional to 32,097.12, 44,296.20 and 17,951.28 is: 24,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.12 : 44,296.20 = 17,951.28 : x
  2. Step 2: Convert to fraction form
    32,097.12/44,296.20 = 17,951.28/x
  3. Step 3: Cross multiply
    32,097.12x = 44,296.20 × 17,951.28
  4. Step 4: Simplify right side
    32,097.12x = 795,173,489.14
  5. Step 5: Solve for x
    x = 795,173,489.14/32,097.12
  6. Step 6: Final answer
    x = 24,773.98

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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.