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Finding the Fourth Proportional to 43,347.67, 65,023.75 and 13,767.82

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Solution

The fourth proportional to 43,347.67, 65,023.75 and 13,767.82 is: 20,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,347.67 : 65,023.75 = 13,767.82 : x
  2. Step 2: Convert to fraction form
    43,347.67/65,023.75 = 13,767.82/x
  3. Step 3: Cross multiply
    43,347.67x = 65,023.75 × 13,767.82
  4. Step 4: Simplify right side
    43,347.67x = 895,235,285.73
  5. Step 5: Solve for x
    x = 895,235,285.73/43,347.67
  6. Step 6: Final answer
    x = 20,652.44

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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.