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Finding the Fourth Proportional to 77,671.80, 107,107.38 and 55,004.76

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Solution

The fourth proportional to 77,671.80, 107,107.38 and 55,004.76 is: 75,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,671.80 : 107,107.38 = 55,004.76 : x
  2. Step 2: Convert to fraction form
    77,671.80/107,107.38 = 55,004.76/x
  3. Step 3: Cross multiply
    77,671.80x = 107,107.38 × 55,004.76
  4. Step 4: Simplify right side
    77,671.80x = 5,891,415,731.13
  5. Step 5: Solve for x
    x = 5,891,415,731.13/77,671.80
  6. Step 6: Final answer
    x = 75,850.12

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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.