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Finding the Fourth Proportional to 108,642.57, 162,963.99 and 29,757.48

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Solution

The fourth proportional to 108,642.57, 162,963.99 and 29,757.48 is: 44,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,642.57 : 162,963.99 = 29,757.48 : x
  2. Step 2: Convert to fraction form
    108,642.57/162,963.99 = 29,757.48/x
  3. Step 3: Cross multiply
    108,642.57x = 162,963.99 × 29,757.48
  4. Step 4: Simplify right side
    108,642.57x = 4,849,397,673.15
  5. Step 5: Solve for x
    x = 4,849,397,673.15/108,642.57
  6. Step 6: Final answer
    x = 44,636.26

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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.