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Finding the Fourth Proportional to 90,784.85, 136,180.94 and 31,626.50

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Solution

The fourth proportional to 90,784.85, 136,180.94 and 31,626.50 is: 47,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784.85 : 136,180.94 = 31,626.50 : x
  2. Step 2: Convert to fraction form
    90,784.85/136,180.94 = 31,626.50/x
  3. Step 3: Cross multiply
    90,784.85x = 136,180.94 × 31,626.50
  4. Step 4: Simplify right side
    90,784.85x = 4,306,925,659.87
  5. Step 5: Solve for x
    x = 4,306,925,659.87/90,784.85
  6. Step 6: Final answer
    x = 47,441.02

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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.