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Finding the Fourth Proportional to 65,186.44, 89,956.50 and 36,891.40

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Solution

The fourth proportional to 65,186.44, 89,956.50 and 36,891.40 is: 50,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.44 : 89,956.50 = 36,891.40 : x
  2. Step 2: Convert to fraction form
    65,186.44/89,956.50 = 36,891.40/x
  3. Step 3: Cross multiply
    65,186.44x = 89,956.50 × 36,891.40
  4. Step 4: Simplify right side
    65,186.44x = 3,318,621,224.10
  5. Step 5: Solve for x
    x = 3,318,621,224.10/65,186.44
  6. Step 6: Final answer
    x = 50,909.69

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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.