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Finding the Fourth Proportional to 90,182.58, 135,290.88 and 27,838.50

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Solution

The fourth proportional to 90,182.58, 135,290.88 and 27,838.50 is: 41,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,182.58 : 135,290.88 = 27,838.50 : x
  2. Step 2: Convert to fraction form
    90,182.58/135,290.88 = 27,838.50/x
  3. Step 3: Cross multiply
    90,182.58x = 135,290.88 × 27,838.50
  4. Step 4: Simplify right side
    90,182.58x = 3,766,295,162.88
  5. Step 5: Solve for x
    x = 3,766,295,162.88/90,182.58
  6. Step 6: Final answer
    x = 41,763.00

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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.