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Finding the Fourth Proportional to 43,464, 65,185.76 and 11,866.54

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Solution

The fourth proportional to 43,464, 65,185.76 and 11,866.54 is: 17,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 65,185.76 = 11,866.54 : x
  2. Step 2: Convert to fraction form
    43,464/65,185.76 = 11,866.54/x
  3. Step 3: Cross multiply
    43,464x = 65,185.76 × 11,866.54
  4. Step 4: Simplify right side
    43,464x = 773,529,428.47
  5. Step 5: Solve for x
    x = 773,529,428.47/43,464
  6. Step 6: Final answer
    x = 17,797.01

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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.