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Finding the Fourth Proportional to 55,042.17, 75,958.19 and 31,168.84

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Solution

The fourth proportional to 55,042.17, 75,958.19 and 31,168.84 is: 43,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,042.17 : 75,958.19 = 31,168.84 : x
  2. Step 2: Convert to fraction form
    55,042.17/75,958.19 = 31,168.84/x
  3. Step 3: Cross multiply
    55,042.17x = 75,958.19 × 31,168.84
  4. Step 4: Simplify right side
    55,042.17x = 2,367,528,135.16
  5. Step 5: Solve for x
    x = 2,367,528,135.16/55,042.17
  6. Step 6: Final answer
    x = 43,012.99

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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.