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Finding the Fourth Proportional to 70,822.83, 106,299.87 and 35,787.09

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Solution

The fourth proportional to 70,822.83, 106,299.87 and 35,787.09 is: 53,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.83 : 106,299.87 = 35,787.09 : x
  2. Step 2: Convert to fraction form
    70,822.83/106,299.87 = 35,787.09/x
  3. Step 3: Cross multiply
    70,822.83x = 106,299.87 × 35,787.09
  4. Step 4: Simplify right side
    70,822.83x = 3,804,163,014.68
  5. Step 5: Solve for x
    x = 3,804,163,014.68/70,822.83
  6. Step 6: Final answer
    x = 53,713.80

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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.