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Finding the Fourth Proportional to 102,516.62, 153,797.50 and 31,449.04

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Solution

The fourth proportional to 102,516.62, 153,797.50 and 31,449.04 is: 47,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,516.62 : 153,797.50 = 31,449.04 : x
  2. Step 2: Convert to fraction form
    102,516.62/153,797.50 = 31,449.04/x
  3. Step 3: Cross multiply
    102,516.62x = 153,797.50 × 31,449.04
  4. Step 4: Simplify right side
    102,516.62x = 4,836,783,729.40
  5. Step 5: Solve for x
    x = 4,836,783,729.40/102,516.62
  6. Step 6: Final answer
    x = 47,180.48

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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.