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Finding the Fourth Proportional to 71,624.89, 107,437.34 and 27,241.39

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Solution

The fourth proportional to 71,624.89, 107,437.34 and 27,241.39 is: 40,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,624.89 : 107,437.34 = 27,241.39 : x
  2. Step 2: Convert to fraction form
    71,624.89/107,437.34 = 27,241.39/x
  3. Step 3: Cross multiply
    71,624.89x = 107,437.34 × 27,241.39
  4. Step 4: Simplify right side
    71,624.89x = 2,926,742,343.30
  5. Step 5: Solve for x
    x = 2,926,742,343.30/71,624.89
  6. Step 6: Final answer
    x = 40,862.09

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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.