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Finding the Fourth Proportional to 66,269.50, 91,451.92 and 36,461.50

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Solution

The fourth proportional to 66,269.50, 91,451.92 and 36,461.50 is: 50,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,269.50 : 91,451.92 = 36,461.50 : x
  2. Step 2: Convert to fraction form
    66,269.50/91,451.92 = 36,461.50/x
  3. Step 3: Cross multiply
    66,269.50x = 91,451.92 × 36,461.50
  4. Step 4: Simplify right side
    66,269.50x = 3,334,474,181.08
  5. Step 5: Solve for x
    x = 3,334,474,181.08/66,269.50
  6. Step 6: Final answer
    x = 50,316.88

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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.