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Finding the Fourth Proportional to 55,037.52, 75,952.80 and 31,164.12

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Solution

The fourth proportional to 55,037.52, 75,952.80 and 31,164.12 is: 43,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,037.52 : 75,952.80 = 31,164.12 : x
  2. Step 2: Convert to fraction form
    55,037.52/75,952.80 = 31,164.12/x
  3. Step 3: Cross multiply
    55,037.52x = 75,952.80 × 31,164.12
  4. Step 4: Simplify right side
    55,037.52x = 2,367,002,173.54
  5. Step 5: Solve for x
    x = 2,367,002,173.54/55,037.52
  6. Step 6: Final answer
    x = 43,007.06

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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.