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Finding the Fourth Proportional to 35,102.92, 52,657.10 and 11,729.44

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Solution

The fourth proportional to 35,102.92, 52,657.10 and 11,729.44 is: 17,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.92 : 52,657.10 = 11,729.44 : x
  2. Step 2: Convert to fraction form
    35,102.92/52,657.10 = 11,729.44/x
  3. Step 3: Cross multiply
    35,102.92x = 52,657.10 × 11,729.44
  4. Step 4: Simplify right side
    35,102.92x = 617,638,295.02
  5. Step 5: Solve for x
    x = 617,638,295.02/35,102.92
  6. Step 6: Final answer
    x = 17,595.07

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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.