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Finding the Fourth Proportional to 108,320, 162,495.54 and 33,446.54

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Solution

The fourth proportional to 108,320, 162,495.54 and 33,446.54 is: 50,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,320 : 162,495.54 = 33,446.54 : x
  2. Step 2: Convert to fraction form
    108,320/162,495.54 = 33,446.54/x
  3. Step 3: Cross multiply
    108,320x = 162,495.54 × 33,446.54
  4. Step 4: Simplify right side
    108,320x = 5,434,913,578.43
  5. Step 5: Solve for x
    x = 5,434,913,578.43/108,320
  6. Step 6: Final answer
    x = 50,174.61

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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.