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Finding the Fourth Proportional to 101,102.52, 139,524.15 and 55,781.10

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Solution

The fourth proportional to 101,102.52, 139,524.15 and 55,781.10 is: 76,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,102.52 : 139,524.15 = 55,781.10 : x
  2. Step 2: Convert to fraction form
    101,102.52/139,524.15 = 55,781.10/x
  3. Step 3: Cross multiply
    101,102.52x = 139,524.15 × 55,781.10
  4. Step 4: Simplify right side
    101,102.52x = 7,782,810,563.57
  5. Step 5: Solve for x
    x = 7,782,810,563.57/101,102.52
  6. Step 6: Final answer
    x = 76,979.39

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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.