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Finding the Fourth Proportional to 64,849.36, 89,486.76 and 36,562

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Solution

The fourth proportional to 64,849.36, 89,486.76 and 36,562 is: 50,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.36 : 89,486.76 = 36,562 : x
  2. Step 2: Convert to fraction form
    64,849.36/89,486.76 = 36,562/x
  3. Step 3: Cross multiply
    64,849.36x = 89,486.76 × 36,562
  4. Step 4: Simplify right side
    64,849.36x = 3,271,814,919.12
  5. Step 5: Solve for x
    x = 3,271,814,919.12/64,849.36
  6. Step 6: Final answer
    x = 50,452.54

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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.