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Finding the Fourth Proportional to 105,796.96, 158,722.16 and 48,843.44

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Solution

The fourth proportional to 105,796.96, 158,722.16 and 48,843.44 is: 73,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,796.96 : 158,722.16 = 48,843.44 : x
  2. Step 2: Convert to fraction form
    105,796.96/158,722.16 = 48,843.44/x
  3. Step 3: Cross multiply
    105,796.96x = 158,722.16 × 48,843.44
  4. Step 4: Simplify right side
    105,796.96x = 7,752,536,298.63
  5. Step 5: Solve for x
    x = 7,752,536,298.63/105,796.96
  6. Step 6: Final answer
    x = 73,277.50

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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.