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Finding the Fourth Proportional to 32,097.28, 44,296.38 and 17,949.28

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Solution

The fourth proportional to 32,097.28, 44,296.38 and 17,949.28 is: 24,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.28 : 44,296.38 = 17,949.28 : x
  2. Step 2: Convert to fraction form
    32,097.28/44,296.38 = 17,949.28/x
  3. Step 3: Cross multiply
    32,097.28x = 44,296.38 × 17,949.28
  4. Step 4: Simplify right side
    32,097.28x = 795,088,127.61
  5. Step 5: Solve for x
    x = 795,088,127.61/32,097.28
  6. Step 6: Final answer
    x = 24,771.20

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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.