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Finding the Fourth Proportional to 32,844.98, 45,325.32 and 20,097.20

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Solution

The fourth proportional to 32,844.98, 45,325.32 and 20,097.20 is: 27,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844.98 : 45,325.32 = 20,097.20 : x
  2. Step 2: Convert to fraction form
    32,844.98/45,325.32 = 20,097.20/x
  3. Step 3: Cross multiply
    32,844.98x = 45,325.32 × 20,097.20
  4. Step 4: Simplify right side
    32,844.98x = 910,912,021.10
  5. Step 5: Solve for x
    x = 910,912,021.10/32,844.98
  6. Step 6: Final answer
    x = 27,733.68

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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.