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Finding the Fourth Proportional to 108,647.10, 162,945.73 and 29,767.48

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Solution

The fourth proportional to 108,647.10, 162,945.73 and 29,767.48 is: 44,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,647.10 : 162,945.73 = 29,767.48 : x
  2. Step 2: Convert to fraction form
    108,647.10/162,945.73 = 29,767.48/x
  3. Step 3: Cross multiply
    108,647.10x = 162,945.73 × 29,767.48
  4. Step 4: Simplify right side
    108,647.10x = 4,850,483,388.71
  5. Step 5: Solve for x
    x = 4,850,483,388.71/108,647.10
  6. Step 6: Final answer
    x = 44,644.39

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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.