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Finding the Fourth Proportional to 43,354.25, 65,024.59 and 13,768.19

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Solution

The fourth proportional to 43,354.25, 65,024.59 and 13,768.19 is: 20,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,354.25 : 65,024.59 = 13,768.19 : x
  2. Step 2: Convert to fraction form
    43,354.25/65,024.59 = 13,768.19/x
  3. Step 3: Cross multiply
    43,354.25x = 65,024.59 × 13,768.19
  4. Step 4: Simplify right side
    43,354.25x = 895,270,909.79
  5. Step 5: Solve for x
    x = 895,270,909.79/43,354.25
  6. Step 6: Final answer
    x = 20,650.13

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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.