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Finding the Fourth Proportional to 65,213.83, 89,994.61 and 36,919.27

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Solution

The fourth proportional to 65,213.83, 89,994.61 and 36,919.27 is: 50,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.83 : 89,994.61 = 36,919.27 : x
  2. Step 2: Convert to fraction form
    65,213.83/89,994.61 = 36,919.27/x
  3. Step 3: Cross multiply
    65,213.83x = 89,994.61 × 36,919.27
  4. Step 4: Simplify right side
    65,213.83x = 3,322,535,305.13
  5. Step 5: Solve for x
    x = 3,322,535,305.13/65,213.83
  6. Step 6: Final answer
    x = 50,948.32

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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.