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Finding the Fourth Proportional to 71,709.78, 107,563.80 and 32,239.02

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Solution

The fourth proportional to 71,709.78, 107,563.80 and 32,239.02 is: 48,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.78 : 107,563.80 = 32,239.02 : x
  2. Step 2: Convert to fraction form
    71,709.78/107,563.80 = 32,239.02/x
  3. Step 3: Cross multiply
    71,709.78x = 107,563.80 × 32,239.02
  4. Step 4: Simplify right side
    71,709.78x = 3,467,751,499.48
  5. Step 5: Solve for x
    x = 3,467,751,499.48/71,709.78
  6. Step 6: Final answer
    x = 48,358.14

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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.