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Finding the Fourth Proportional to 77,482.62, 116,230.41 and 27,589.86

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Solution

The fourth proportional to 77,482.62, 116,230.41 and 27,589.86 is: 41,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,482.62 : 116,230.41 = 27,589.86 : x
  2. Step 2: Convert to fraction form
    77,482.62/116,230.41 = 27,589.86/x
  3. Step 3: Cross multiply
    77,482.62x = 116,230.41 × 27,589.86
  4. Step 4: Simplify right side
    77,482.62x = 3,206,780,739.64
  5. Step 5: Solve for x
    x = 3,206,780,739.64/77,482.62
  6. Step 6: Final answer
    x = 41,387.10

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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.