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Finding the Fourth Proportional to 55,057.39, 75,980.20 and 31,189.02

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Solution

The fourth proportional to 55,057.39, 75,980.20 and 31,189.02 is: 43,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,057.39 : 75,980.20 = 31,189.02 : x
  2. Step 2: Convert to fraction form
    55,057.39/75,980.20 = 31,189.02/x
  3. Step 3: Cross multiply
    55,057.39x = 75,980.20 × 31,189.02
  4. Step 4: Simplify right side
    55,057.39x = 2,369,747,977.40
  5. Step 5: Solve for x
    x = 2,369,747,977.40/55,057.39
  6. Step 6: Final answer
    x = 43,041.42

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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.