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Finding the Fourth Proportional to 35,211.92, 52,817.87 and 8,914.61

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Solution

The fourth proportional to 35,211.92, 52,817.87 and 8,914.61 is: 13,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,211.92 : 52,817.87 = 8,914.61 : x
  2. Step 2: Convert to fraction form
    35,211.92/52,817.87 = 8,914.61/x
  3. Step 3: Cross multiply
    35,211.92x = 52,817.87 × 8,914.61
  4. Step 4: Simplify right side
    35,211.92x = 470,850,569.31
  5. Step 5: Solve for x
    x = 470,850,569.31/35,211.92
  6. Step 6: Final answer
    x = 13,371.91

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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.