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Finding the Fourth Proportional to 55,201.59, 76,180.04 and 31,006.82

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Solution

The fourth proportional to 55,201.59, 76,180.04 and 31,006.82 is: 42,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.59 : 76,180.04 = 31,006.82 : x
  2. Step 2: Convert to fraction form
    55,201.59/76,180.04 = 31,006.82/x
  3. Step 3: Cross multiply
    55,201.59x = 76,180.04 × 31,006.82
  4. Step 4: Simplify right side
    55,201.59x = 2,362,100,251.94
  5. Step 5: Solve for x
    x = 2,362,100,251.94/55,201.59
  6. Step 6: Final answer
    x = 42,790.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.