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Finding the Fourth Proportional to 90,505.50, 135,776.46 and 31,339.86

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Solution

The fourth proportional to 90,505.50, 135,776.46 and 31,339.86 is: 47,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,505.50 : 135,776.46 = 31,339.86 : x
  2. Step 2: Convert to fraction form
    90,505.50/135,776.46 = 31,339.86/x
  3. Step 3: Cross multiply
    90,505.50x = 135,776.46 × 31,339.86
  4. Step 4: Simplify right side
    90,505.50x = 4,255,215,247.70
  5. Step 5: Solve for x
    x = 4,255,215,247.70/90,505.50
  6. Step 6: Final answer
    x = 47,016.10

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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.