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Finding the Fourth Proportional to 55,107.27, 76,048.11 and 29,956.77

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Solution

The fourth proportional to 55,107.27, 76,048.11 and 29,956.77 is: 41,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,107.27 : 76,048.11 = 29,956.77 : x
  2. Step 2: Convert to fraction form
    55,107.27/76,048.11 = 29,956.77/x
  3. Step 3: Cross multiply
    55,107.27x = 76,048.11 × 29,956.77
  4. Step 4: Simplify right side
    55,107.27x = 2,278,155,740.20
  5. Step 5: Solve for x
    x = 2,278,155,740.20/55,107.27
  6. Step 6: Final answer
    x = 41,340.38

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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.