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Finding the Fourth Proportional to 65,090.44, 89,819.22 and 37,871.56

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Solution

The fourth proportional to 65,090.44, 89,819.22 and 37,871.56 is: 52,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,090.44 : 89,819.22 = 37,871.56 : x
  2. Step 2: Convert to fraction form
    65,090.44/89,819.22 = 37,871.56/x
  3. Step 3: Cross multiply
    65,090.44x = 89,819.22 × 37,871.56
  4. Step 4: Simplify right side
    65,090.44x = 3,401,593,979.38
  5. Step 5: Solve for x
    x = 3,401,593,979.38/65,090.44
  6. Step 6: Final answer
    x = 52,259.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.