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Finding the Fourth Proportional to 71,757.60, 107,621.44 and 27,374.40

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Solution

The fourth proportional to 71,757.60, 107,621.44 and 27,374.40 is: 41,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.60 : 107,621.44 = 27,374.40 : x
  2. Step 2: Convert to fraction form
    71,757.60/107,621.44 = 27,374.40/x
  3. Step 3: Cross multiply
    71,757.60x = 107,621.44 × 27,374.40
  4. Step 4: Simplify right side
    71,757.60x = 2,946,072,347.14
  5. Step 5: Solve for x
    x = 2,946,072,347.14/71,757.60
  6. Step 6: Final answer
    x = 41,055.89

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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.