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Finding the Fourth Proportional to 90,397, 135,595.50 and 28,067.50

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Solution

The fourth proportional to 90,397, 135,595.50 and 28,067.50 is: 42,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,397 : 135,595.50 = 28,067.50 : x
  2. Step 2: Convert to fraction form
    90,397/135,595.50 = 28,067.50/x
  3. Step 3: Cross multiply
    90,397x = 135,595.50 × 28,067.50
  4. Step 4: Simplify right side
    90,397x = 3,805,826,696.25
  5. Step 5: Solve for x
    x = 3,805,826,696.25/90,397
  6. Step 6: Final answer
    x = 42,101.25

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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.