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Finding the Fourth Proportional to 108,192.76, 162,289.14 and 34,315

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Solution

The fourth proportional to 108,192.76, 162,289.14 and 34,315 is: 51,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,192.76 : 162,289.14 = 34,315 : x
  2. Step 2: Convert to fraction form
    108,192.76/162,289.14 = 34,315/x
  3. Step 3: Cross multiply
    108,192.76x = 162,289.14 × 34,315
  4. Step 4: Simplify right side
    108,192.76x = 5,568,951,839.10
  5. Step 5: Solve for x
    x = 5,568,951,839.10/108,192.76
  6. Step 6: Final answer
    x = 51,472.50

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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.