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Finding the Fourth Proportional to 108,191.76, 162,287.64 and 34,314

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Solution

The fourth proportional to 108,191.76, 162,287.64 and 34,314 is: 51,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,191.76 : 162,287.64 = 34,314 : x
  2. Step 2: Convert to fraction form
    108,191.76/162,287.64 = 34,314/x
  3. Step 3: Cross multiply
    108,191.76x = 162,287.64 × 34,314
  4. Step 4: Simplify right side
    108,191.76x = 5,568,738,078.96
  5. Step 5: Solve for x
    x = 5,568,738,078.96/108,191.76
  6. Step 6: Final answer
    x = 51,471

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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.