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Finding the Fourth Proportional to 108,614.10, 162,921.24 and 29,728.98

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Solution

The fourth proportional to 108,614.10, 162,921.24 and 29,728.98 is: 44,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,614.10 : 162,921.24 = 29,728.98 : x
  2. Step 2: Convert to fraction form
    108,614.10/162,921.24 = 29,728.98/x
  3. Step 3: Cross multiply
    108,614.10x = 162,921.24 × 29,728.98
  4. Step 4: Simplify right side
    108,614.10x = 4,843,482,285.54
  5. Step 5: Solve for x
    x = 4,843,482,285.54/108,614.10
  6. Step 6: Final answer
    x = 44,593.49

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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.