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Finding the Fourth Proportional to 43,661.31, 65,504 and 17,384.50

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Solution

The fourth proportional to 43,661.31, 65,504 and 17,384.50 is: 26,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,661.31 : 65,504 = 17,384.50 : x
  2. Step 2: Convert to fraction form
    43,661.31/65,504 = 17,384.50/x
  3. Step 3: Cross multiply
    43,661.31x = 65,504 × 17,384.50
  4. Step 4: Simplify right side
    43,661.31x = 1,138,754,288
  5. Step 5: Solve for x
    x = 1,138,754,288/43,661.31
  6. Step 6: Final answer
    x = 26,081.54

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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.