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Finding the Fourth Proportional to 71,817.76, 107,742.07 and 35,813.83

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Solution

The fourth proportional to 71,817.76, 107,742.07 and 35,813.83 is: 53,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,817.76 : 107,742.07 = 35,813.83 : x
  2. Step 2: Convert to fraction form
    71,817.76/107,742.07 = 35,813.83/x
  3. Step 3: Cross multiply
    71,817.76x = 107,742.07 × 35,813.83
  4. Step 4: Simplify right side
    71,817.76x = 3,858,656,178.83
  5. Step 5: Solve for x
    x = 3,858,656,178.83/71,817.76
  6. Step 6: Final answer
    x = 53,728.44

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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.