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Finding the Fourth Proportional to 71,911.42, 107,782.41 and 32,422.30

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Solution

The fourth proportional to 71,911.42, 107,782.41 and 32,422.30 is: 48,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.42 : 107,782.41 = 32,422.30 : x
  2. Step 2: Convert to fraction form
    71,911.42/107,782.41 = 32,422.30/x
  3. Step 3: Cross multiply
    71,911.42x = 107,782.41 × 32,422.30
  4. Step 4: Simplify right side
    71,911.42x = 3,494,553,631.74
  5. Step 5: Solve for x
    x = 3,494,553,631.74/71,911.42
  6. Step 6: Final answer
    x = 48,595.25

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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.