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Finding the Fourth Proportional to 65,077.02, 89,805.62 and 36,396.34

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Solution

The fourth proportional to 65,077.02, 89,805.62 and 36,396.34 is: 50,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077.02 : 89,805.62 = 36,396.34 : x
  2. Step 2: Convert to fraction form
    65,077.02/89,805.62 = 36,396.34/x
  3. Step 3: Cross multiply
    65,077.02x = 89,805.62 × 36,396.34
  4. Step 4: Simplify right side
    65,077.02x = 3,268,595,745.91
  5. Step 5: Solve for x
    x = 3,268,595,745.91/65,077.02
  6. Step 6: Final answer
    x = 50,226.57

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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.