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Finding the Fourth Proportional to 107,694, 161,567.16 and 33,822

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Solution

The fourth proportional to 107,694, 161,567.16 and 33,822 is: 50,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,694 : 161,567.16 = 33,822 : x
  2. Step 2: Convert to fraction form
    107,694/161,567.16 = 33,822/x
  3. Step 3: Cross multiply
    107,694x = 161,567.16 × 33,822
  4. Step 4: Simplify right side
    107,694x = 5,464,524,485.52
  5. Step 5: Solve for x
    x = 5,464,524,485.52/107,694
  6. Step 6: Final answer
    x = 50,741.22

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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.