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Finding the Fourth Proportional to 71,783.01, 107,651.53 and 23,742.69

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Solution

The fourth proportional to 71,783.01, 107,651.53 and 23,742.69 is: 35,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.01 : 107,651.53 = 23,742.69 : x
  2. Step 2: Convert to fraction form
    71,783.01/107,651.53 = 23,742.69/x
  3. Step 3: Cross multiply
    71,783.01x = 107,651.53 × 23,742.69
  4. Step 4: Simplify right side
    71,783.01x = 2,555,936,904.82
  5. Step 5: Solve for x
    x = 2,555,936,904.82/71,783.01
  6. Step 6: Final answer
    x = 35,606.43

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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.