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Finding the Fourth Proportional to 35,296.50, 52,949.16 and 10,672.50

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Solution

The fourth proportional to 35,296.50, 52,949.16 and 10,672.50 is: 16,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296.50 : 52,949.16 = 10,672.50 : x
  2. Step 2: Convert to fraction form
    35,296.50/52,949.16 = 10,672.50/x
  3. Step 3: Cross multiply
    35,296.50x = 52,949.16 × 10,672.50
  4. Step 4: Simplify right side
    35,296.50x = 565,099,910.10
  5. Step 5: Solve for x
    x = 565,099,910.10/35,296.50
  6. Step 6: Final answer
    x = 16,010.08

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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.