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Finding the Fourth Proportional to 73,077.38, 109,619.16 and 23,156.38

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Solution

The fourth proportional to 73,077.38, 109,619.16 and 23,156.38 is: 34,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,077.38 : 109,619.16 = 23,156.38 : x
  2. Step 2: Convert to fraction form
    73,077.38/109,619.16 = 23,156.38/x
  3. Step 3: Cross multiply
    73,077.38x = 109,619.16 × 23,156.38
  4. Step 4: Simplify right side
    73,077.38x = 2,538,382,650.19
  5. Step 5: Solve for x
    x = 2,538,382,650.19/73,077.38
  6. Step 6: Final answer
    x = 34,735.54

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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.