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Finding the Fourth Proportional to 90,436.56, 135,674.30 and 30,471

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Solution

The fourth proportional to 90,436.56, 135,674.30 and 30,471 is: 45,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,436.56 : 135,674.30 = 30,471 : x
  2. Step 2: Convert to fraction form
    90,436.56/135,674.30 = 30,471/x
  3. Step 3: Cross multiply
    90,436.56x = 135,674.30 × 30,471
  4. Step 4: Simplify right side
    90,436.56x = 4,134,131,442.95
  5. Step 5: Solve for x
    x = 4,134,131,442.95/90,436.56
  6. Step 6: Final answer
    x = 45,713.06

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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.