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Finding the Fourth Proportional to 65,012.01, 97,629.18 and 40,198.67

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Solution

The fourth proportional to 65,012.01, 97,629.18 and 40,198.67 is: 60,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.01 : 97,629.18 = 40,198.67 : x
  2. Step 2: Convert to fraction form
    65,012.01/97,629.18 = 40,198.67/x
  3. Step 3: Cross multiply
    65,012.01x = 97,629.18 × 40,198.67
  4. Step 4: Simplify right side
    65,012.01x = 3,924,563,189.19
  5. Step 5: Solve for x
    x = 3,924,563,189.19/65,012.01
  6. Step 6: Final answer
    x = 60,366.74

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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.