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Finding the Fourth Proportional to 52,389.44, 72,296.16 and 30,032

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Solution

The fourth proportional to 52,389.44, 72,296.16 and 30,032 is: 41,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,389.44 : 72,296.16 = 30,032 : x
  2. Step 2: Convert to fraction form
    52,389.44/72,296.16 = 30,032/x
  3. Step 3: Cross multiply
    52,389.44x = 72,296.16 × 30,032
  4. Step 4: Simplify right side
    52,389.44x = 2,171,198,277.12
  5. Step 5: Solve for x
    x = 2,171,198,277.12/52,389.44
  6. Step 6: Final answer
    x = 41,443.43

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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.