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Finding the Fourth Proportional to 35,245, 52,850 and 11,226.17

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Solution

The fourth proportional to 35,245, 52,850 and 11,226.17 is: 16,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,245 : 52,850 = 11,226.17 : x
  2. Step 2: Convert to fraction form
    35,245/52,850 = 11,226.17/x
  3. Step 3: Cross multiply
    35,245x = 52,850 × 11,226.17
  4. Step 4: Simplify right side
    35,245x = 593,303,084.50
  5. Step 5: Solve for x
    x = 593,303,084.50/35,245
  6. Step 6: Final answer
    x = 16,833.68

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Why These Related Problems?

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