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Finding the Fourth Proportional to 105,644.63, 158,433.48 and 34,550.84

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Solution

The fourth proportional to 105,644.63, 158,433.48 and 34,550.84 is: 51,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,644.63 : 158,433.48 = 34,550.84 : x
  2. Step 2: Convert to fraction form
    105,644.63/158,433.48 = 34,550.84/x
  3. Step 3: Cross multiply
    105,644.63x = 158,433.48 × 34,550.84
  4. Step 4: Simplify right side
    105,644.63x = 5,474,009,025.96
  5. Step 5: Solve for x
    x = 5,474,009,025.96/105,644.63
  6. Step 6: Final answer
    x = 51,815.31

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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.