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Finding the Fourth Proportional to 108,647.57, 162,971.49 and 29,762.48

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Solution

The fourth proportional to 108,647.57, 162,971.49 and 29,762.48 is: 44,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,647.57 : 162,971.49 = 29,762.48 : x
  2. Step 2: Convert to fraction form
    108,647.57/162,971.49 = 29,762.48/x
  3. Step 3: Cross multiply
    108,647.57x = 162,971.49 × 29,762.48
  4. Step 4: Simplify right side
    108,647.57x = 4,850,435,711.70
  5. Step 5: Solve for x
    x = 4,850,435,711.70/108,647.57
  6. Step 6: Final answer
    x = 44,643.76

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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.