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Finding the Fourth Proportional to 102,392.68, 153,584.26 and 35,847.74

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Solution

The fourth proportional to 102,392.68, 153,584.26 and 35,847.74 is: 53,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.68 : 153,584.26 = 35,847.74 : x
  2. Step 2: Convert to fraction form
    102,392.68/153,584.26 = 35,847.74/x
  3. Step 3: Cross multiply
    102,392.68x = 153,584.26 × 35,847.74
  4. Step 4: Simplify right side
    102,392.68x = 5,505,648,620.57
  5. Step 5: Solve for x
    x = 5,505,648,620.57/102,392.68
  6. Step 6: Final answer
    x = 53,769.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.