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Finding the Fourth Proportional to 106,609.64, 159,860.99 and 35,507.28

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Solution

The fourth proportional to 106,609.64, 159,860.99 and 35,507.28 is: 53,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,609.64 : 159,860.99 = 35,507.28 : x
  2. Step 2: Convert to fraction form
    106,609.64/159,860.99 = 35,507.28/x
  3. Step 3: Cross multiply
    106,609.64x = 159,860.99 × 35,507.28
  4. Step 4: Simplify right side
    106,609.64x = 5,676,229,546.41
  5. Step 5: Solve for x
    x = 5,676,229,546.41/106,609.64
  6. Step 6: Final answer
    x = 53,243.11

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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.