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Finding the Fourth Proportional to 101,378.25, 152,067.65 and 27,506.25

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Solution

The fourth proportional to 101,378.25, 152,067.65 and 27,506.25 is: 41,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378.25 : 152,067.65 = 27,506.25 : x
  2. Step 2: Convert to fraction form
    101,378.25/152,067.65 = 27,506.25/x
  3. Step 3: Cross multiply
    101,378.25x = 152,067.65 × 27,506.25
  4. Step 4: Simplify right side
    101,378.25x = 4,182,810,660.28
  5. Step 5: Solve for x
    x = 4,182,810,660.28/101,378.25
  6. Step 6: Final answer
    x = 41,259.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.