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Finding the Fourth Proportional to 67,678.56, 101,482.79 and 36,080.12

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Solution

The fourth proportional to 67,678.56, 101,482.79 and 36,080.12 is: 54,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,678.56 : 101,482.79 = 36,080.12 : x
  2. Step 2: Convert to fraction form
    67,678.56/101,482.79 = 36,080.12/x
  3. Step 3: Cross multiply
    67,678.56x = 101,482.79 × 36,080.12
  4. Step 4: Simplify right side
    67,678.56x = 3,661,511,314.44
  5. Step 5: Solve for x
    x = 3,661,511,314.44/67,678.56
  6. Step 6: Final answer
    x = 54,101.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.