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Finding the Fourth Proportional to 106,308.80, 159,459.22 and 26,347.03

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Solution

The fourth proportional to 106,308.80, 159,459.22 and 26,347.03 is: 39,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308.80 : 159,459.22 = 26,347.03 : x
  2. Step 2: Convert to fraction form
    106,308.80/159,459.22 = 26,347.03/x
  3. Step 3: Cross multiply
    106,308.80x = 159,459.22 × 26,347.03
  4. Step 4: Simplify right side
    106,308.80x = 4,201,277,571.55
  5. Step 5: Solve for x
    x = 4,201,277,571.55/106,308.80
  6. Step 6: Final answer
    x = 39,519.56

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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.