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Finding the Fourth Proportional to 65,082.26, 97,629.88 and 30,031.94

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Solution

The fourth proportional to 65,082.26, 97,629.88 and 30,031.94 is: 45,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082.26 : 97,629.88 = 30,031.94 : x
  2. Step 2: Convert to fraction form
    65,082.26/97,629.88 = 30,031.94/x
  3. Step 3: Cross multiply
    65,082.26x = 97,629.88 × 30,031.94
  4. Step 4: Simplify right side
    65,082.26x = 2,932,014,698.37
  5. Step 5: Solve for x
    x = 2,932,014,698.37/65,082.26
  6. Step 6: Final answer
    x = 45,050.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.