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Finding the Fourth Proportional to 54,973.52, 75,863.01 and 31,100

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Solution

The fourth proportional to 54,973.52, 75,863.01 and 31,100 is: 42,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,973.52 : 75,863.01 = 31,100 : x
  2. Step 2: Convert to fraction form
    54,973.52/75,863.01 = 31,100/x
  3. Step 3: Cross multiply
    54,973.52x = 75,863.01 × 31,100
  4. Step 4: Simplify right side
    54,973.52x = 2,359,339,611
  5. Step 5: Solve for x
    x = 2,359,339,611/54,973.52
  6. Step 6: Final answer
    x = 42,917.75

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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.