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Finding the Fourth Proportional to 115,705.50, 173,491.83 and 45,546.54

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Solution

The fourth proportional to 115,705.50, 173,491.83 and 45,546.54 is: 68,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,705.50 : 173,491.83 = 45,546.54 : x
  2. Step 2: Convert to fraction form
    115,705.50/173,491.83 = 45,546.54/x
  3. Step 3: Cross multiply
    115,705.50x = 173,491.83 × 45,546.54
  4. Step 4: Simplify right side
    115,705.50x = 7,901,952,574.77
  5. Step 5: Solve for x
    x = 7,901,952,574.77/115,705.50
  6. Step 6: Final answer
    x = 68,293.66

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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.