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Finding the Fourth Proportional to 101,517.63, 140,094.65 and 54,950.49

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Solution

The fourth proportional to 101,517.63, 140,094.65 and 54,950.49 is: 75,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,517.63 : 140,094.65 = 54,950.49 : x
  2. Step 2: Convert to fraction form
    101,517.63/140,094.65 = 54,950.49/x
  3. Step 3: Cross multiply
    101,517.63x = 140,094.65 × 54,950.49
  4. Step 4: Simplify right side
    101,517.63x = 7,698,269,663.88
  5. Step 5: Solve for x
    x = 7,698,269,663.88/101,517.63
  6. Step 6: Final answer
    x = 75,831.85

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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.