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Finding the Fourth Proportional to 77,120.29, 106,425.26 and 43,128.40

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Solution

The fourth proportional to 77,120.29, 106,425.26 and 43,128.40 is: 59,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120.29 : 106,425.26 = 43,128.40 : x
  2. Step 2: Convert to fraction form
    77,120.29/106,425.26 = 43,128.40/x
  3. Step 3: Cross multiply
    77,120.29x = 106,425.26 × 43,128.40
  4. Step 4: Simplify right side
    77,120.29x = 4,589,951,183.38
  5. Step 5: Solve for x
    x = 4,589,951,183.38/77,120.29
  6. Step 6: Final answer
    x = 59,516.78

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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.