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Finding the Fourth Proportional to 54,601.52, 75,359.28 and 31,628

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Solution

The fourth proportional to 54,601.52, 75,359.28 and 31,628 is: 43,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,601.52 : 75,359.28 = 31,628 : x
  2. Step 2: Convert to fraction form
    54,601.52/75,359.28 = 31,628/x
  3. Step 3: Cross multiply
    54,601.52x = 75,359.28 × 31,628
  4. Step 4: Simplify right side
    54,601.52x = 2,383,463,307.84
  5. Step 5: Solve for x
    x = 2,383,463,307.84/54,601.52
  6. Step 6: Final answer
    x = 43,651.96

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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.