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Finding the Fourth Proportional to 80,963.07, 111,749.07 and 55,164.30

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Solution

The fourth proportional to 80,963.07, 111,749.07 and 55,164.30 is: 76,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,963.07 : 111,749.07 = 55,164.30 : x
  2. Step 2: Convert to fraction form
    80,963.07/111,749.07 = 55,164.30/x
  3. Step 3: Cross multiply
    80,963.07x = 111,749.07 × 55,164.30
  4. Step 4: Simplify right side
    80,963.07x = 6,164,559,222.20
  5. Step 5: Solve for x
    x = 6,164,559,222.20/80,963.07
  6. Step 6: Final answer
    x = 76,140.38

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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.