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Finding the Fourth Proportional to 77,584.80, 116,390.16 and 27,653.16

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Solution

The fourth proportional to 77,584.80, 116,390.16 and 27,653.16 is: 41,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584.80 : 116,390.16 = 27,653.16 : x
  2. Step 2: Convert to fraction form
    77,584.80/116,390.16 = 27,653.16/x
  3. Step 3: Cross multiply
    77,584.80x = 116,390.16 × 27,653.16
  4. Step 4: Simplify right side
    77,584.80x = 3,218,555,716.91
  5. Step 5: Solve for x
    x = 3,218,555,716.91/77,584.80
  6. Step 6: Final answer
    x = 41,484.36

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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.