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Finding the Fourth Proportional to 55,049.37, 75,969.54 and 31,175.70

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Solution

The fourth proportional to 55,049.37, 75,969.54 and 31,175.70 is: 43,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,049.37 : 75,969.54 = 31,175.70 : x
  2. Step 2: Convert to fraction form
    55,049.37/75,969.54 = 31,175.70/x
  3. Step 3: Cross multiply
    55,049.37x = 75,969.54 × 31,175.70
  4. Step 4: Simplify right side
    55,049.37x = 2,368,403,588.18
  5. Step 5: Solve for x
    x = 2,368,403,588.18/55,049.37
  6. Step 6: Final answer
    x = 43,023.26

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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.