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Finding the Fourth Proportional to 101,516.64, 140,093.27 and 54,949.49

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Solution

The fourth proportional to 101,516.64, 140,093.27 and 54,949.49 is: 75,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,516.64 : 140,093.27 = 54,949.49 : x
  2. Step 2: Convert to fraction form
    101,516.64/140,093.27 = 54,949.49/x
  3. Step 3: Cross multiply
    101,516.64x = 140,093.27 × 54,949.49
  4. Step 4: Simplify right side
    101,516.64x = 7,698,052,763.72
  5. Step 5: Solve for x
    x = 7,698,052,763.72/101,516.64
  6. Step 6: Final answer
    x = 75,830.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.