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Finding the Fourth Proportional to 71,374.23, 107,094.57 and 31,958.01

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Solution

The fourth proportional to 71,374.23, 107,094.57 and 31,958.01 is: 47,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374.23 : 107,094.57 = 31,958.01 : x
  2. Step 2: Convert to fraction form
    71,374.23/107,094.57 = 31,958.01/x
  3. Step 3: Cross multiply
    71,374.23x = 107,094.57 × 31,958.01
  4. Step 4: Simplify right side
    71,374.23x = 3,422,529,339.01
  5. Step 5: Solve for x
    x = 3,422,529,339.01/71,374.23
  6. Step 6: Final answer
    x = 47,951.89

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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.