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Finding the Fourth Proportional to 95,730.56, 143,625.12 and 49,016.48

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Solution

The fourth proportional to 95,730.56, 143,625.12 and 49,016.48 is: 73,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,730.56 : 143,625.12 = 49,016.48 : x
  2. Step 2: Convert to fraction form
    95,730.56/143,625.12 = 49,016.48/x
  3. Step 3: Cross multiply
    95,730.56x = 143,625.12 × 49,016.48
  4. Step 4: Simplify right side
    95,730.56x = 7,039,997,821.98
  5. Step 5: Solve for x
    x = 7,039,997,821.98/95,730.56
  6. Step 6: Final answer
    x = 73,539.71

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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.