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Finding the Fourth Proportional to 65,298.68, 90,096.44 and 41,416.64

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Solution

The fourth proportional to 65,298.68, 90,096.44 and 41,416.64 is: 57,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.68 : 90,096.44 = 41,416.64 : x
  2. Step 2: Convert to fraction form
    65,298.68/90,096.44 = 41,416.64/x
  3. Step 3: Cross multiply
    65,298.68x = 90,096.44 × 41,416.64
  4. Step 4: Simplify right side
    65,298.68x = 3,731,491,163.20
  5. Step 5: Solve for x
    x = 3,731,491,163.20/65,298.68
  6. Step 6: Final answer
    x = 57,144.98

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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.