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Finding the Fourth Proportional to 34,419.60, 51,564.60 and 17,722.80

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Solution

The fourth proportional to 34,419.60, 51,564.60 and 17,722.80 is: 26,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,419.60 : 51,564.60 = 17,722.80 : x
  2. Step 2: Convert to fraction form
    34,419.60/51,564.60 = 17,722.80/x
  3. Step 3: Cross multiply
    34,419.60x = 51,564.60 × 17,722.80
  4. Step 4: Simplify right side
    34,419.60x = 913,869,092.88
  5. Step 5: Solve for x
    x = 913,869,092.88/34,419.60
  6. Step 6: Final answer
    x = 26,550.83

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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.