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Finding the Fourth Proportional to 71,670.34, 107,468.34 and 32,193.73

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Solution

The fourth proportional to 71,670.34, 107,468.34 and 32,193.73 is: 48,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,670.34 : 107,468.34 = 32,193.73 : x
  2. Step 2: Convert to fraction form
    71,670.34/107,468.34 = 32,193.73/x
  3. Step 3: Cross multiply
    71,670.34x = 107,468.34 × 32,193.73
  4. Step 4: Simplify right side
    71,670.34x = 3,459,806,721.51
  5. Step 5: Solve for x
    x = 3,459,806,721.51/71,670.34
  6. Step 6: Final answer
    x = 48,273.90

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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.