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Finding the Fourth Proportional to 35,296, 52,945.28 and 10,672

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Solution

The fourth proportional to 35,296, 52,945.28 and 10,672 is: 16,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296 : 52,945.28 = 10,672 : x
  2. Step 2: Convert to fraction form
    35,296/52,945.28 = 10,672/x
  3. Step 3: Cross multiply
    35,296x = 52,945.28 × 10,672
  4. Step 4: Simplify right side
    35,296x = 565,032,028.16
  5. Step 5: Solve for x
    x = 565,032,028.16/35,296
  6. Step 6: Final answer
    x = 16,008.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.