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Finding the Fourth Proportional to 29,083.16, 43,627.77 and 8,023.20

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Solution

The fourth proportional to 29,083.16, 43,627.77 and 8,023.20 is: 12,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,083.16 : 43,627.77 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    29,083.16/43,627.77 = 8,023.20/x
  3. Step 3: Cross multiply
    29,083.16x = 43,627.77 × 8,023.20
  4. Step 4: Simplify right side
    29,083.16x = 350,034,324.26
  5. Step 5: Solve for x
    x = 350,034,324.26/29,083.16
  6. Step 6: Final answer
    x = 12,035.64

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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.