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Finding the Fourth Proportional to 106,584.67, 159,892.80 and 35,484.08

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Solution

The fourth proportional to 106,584.67, 159,892.80 and 35,484.08 is: 53,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,584.67 : 159,892.80 = 35,484.08 : x
  2. Step 2: Convert to fraction form
    106,584.67/159,892.80 = 35,484.08/x
  3. Step 3: Cross multiply
    106,584.67x = 159,892.80 × 35,484.08
  4. Step 4: Simplify right side
    106,584.67x = 5,673,649,173.29
  5. Step 5: Solve for x
    x = 5,673,649,173.29/106,584.67
  6. Step 6: Final answer
    x = 53,231.38

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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.