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Finding the Fourth Proportional to 43,464, 65,194.56 and 13,883.52

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Solution

The fourth proportional to 43,464, 65,194.56 and 13,883.52 is: 20,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 65,194.56 = 13,883.52 : x
  2. Step 2: Convert to fraction form
    43,464/65,194.56 = 13,883.52/x
  3. Step 3: Cross multiply
    43,464x = 65,194.56 × 13,883.52
  4. Step 4: Simplify right side
    43,464x = 905,129,977.65
  5. Step 5: Solve for x
    x = 905,129,977.65/43,464
  6. Step 6: Final answer
    x = 20,824.82

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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.