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Finding the Fourth Proportional to 108,104.76, 162,157.14 and 34,227

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Solution

The fourth proportional to 108,104.76, 162,157.14 and 34,227 is: 51,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,104.76 : 162,157.14 = 34,227 : x
  2. Step 2: Convert to fraction form
    108,104.76/162,157.14 = 34,227/x
  3. Step 3: Cross multiply
    108,104.76x = 162,157.14 × 34,227
  4. Step 4: Simplify right side
    108,104.76x = 5,550,152,430.78
  5. Step 5: Solve for x
    x = 5,550,152,430.78/108,104.76
  6. Step 6: Final answer
    x = 51,340.50

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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.