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Finding the Fourth Proportional to 55,046.49, 75,964.17 and 31,177.77

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Solution

The fourth proportional to 55,046.49, 75,964.17 and 31,177.77 is: 43,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,046.49 : 75,964.17 = 31,177.77 : x
  2. Step 2: Convert to fraction form
    55,046.49/75,964.17 = 31,177.77/x
  3. Step 3: Cross multiply
    55,046.49x = 75,964.17 × 31,177.77
  4. Step 4: Simplify right side
    55,046.49x = 2,368,393,420.50
  5. Step 5: Solve for x
    x = 2,368,393,420.50/55,046.49
  6. Step 6: Final answer
    x = 43,025.33

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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.