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Finding the Fourth Proportional to 43,354.34, 65,035.84 and 11,764.90

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Solution

The fourth proportional to 43,354.34, 65,035.84 and 11,764.90 is: 17,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,354.34 : 65,035.84 = 11,764.90 : x
  2. Step 2: Convert to fraction form
    43,354.34/65,035.84 = 11,764.90/x
  3. Step 3: Cross multiply
    43,354.34x = 65,035.84 × 11,764.90
  4. Step 4: Simplify right side
    43,354.34x = 765,140,154.02
  5. Step 5: Solve for x
    x = 765,140,154.02/43,354.34
  6. Step 6: Final answer
    x = 17,648.53

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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.